finding magnitude of a vector (2024)

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Ashlianne Sharma el 7 de Nov. de 2020

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Comentada: Ashlianne Sharma el 8 de Nov. de 2020

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Hi all, I am trying to make a function and the first step within my function is to find the magnitude of a vector that I have named on another script. How do I do this? I willo put my code below to explain more.

FROM FUNCTION PAGE

function[a, e, nu, i, O, m] = hw_COE_sharmaAshlianne(R, V)

% Inputs

% R = Radius vector [km]

% V = Velocity vector [km/s]

%

% Outputs

% a = semi major axis [km]

% e = eccentricity [no units]

% nu = true anomoly [degrees]

% i = inclination [degrees]

% O = right ascention of the ascending node(RAAN) [degrees]

% w = argument of perigee [degrees]

% Known values

m = 398600; % [km^3/s^2]

% Step one find the magnitude of the radius and velocity vectors

r = norm(R);

v = norm(V);

FROM SCRIPT

% Create a structure for our function to find COE parameters

Rvector = [15370 1400 21950]; % [km]

Vvector = [-0.1 3.84 -0.2]; % [km/s]

% Call function with the structured variables we created above

[a, e, nu, i, O, m] = hw_COE_sharmaAshlianne(Rvector, Vvector);

so to reiterate my question, how do I find the magnitude of Rvector that is defined in my script on my function page (STEP ONE IN FUNCTION)

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VBBV el 7 de Nov. de 2020

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Editada: Walter Roberson el 8 de Nov. de 2020

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>> hw_COE_sharmaAshlianne([...],[...])

Go to the command window and enter the vectors as shown above. Alternately run the script file in which the you are calling the function hw_COE_sharmaAshlianne(Rvector,Vvector)

Ashlianne Sharma el 7 de Nov. de 2020

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I have done that, I made the separate script by which I call my function with

[a, e, nu, i, RAAN, w] = hw_COE_sharmaAshlianne(Rvector, Vvector);

just as I stated in my original question.

Again, the question I asked is how do I code to find the magnitude of the vector because as I put above, it does not work. I would appreciate if you help me with the question I asked??

r = norm(R);

v = norm(V);

I tried putting the lines

r = Rvector;

but that does not work.

VBBV el 8 de Nov. de 2020

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Editada: Walter Roberson el 8 de Nov. de 2020

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Since norm calculates the magnitude of the vector and is defined inside the function as

function[a,e,nu,i,O,m]=

w_COE_sharmaAshlianne(Rvector,Vvector)

...

r = norm(Rvector);

v = norm(Vvector)

...

end % close function file with end statement

Close function file with end

Ashlianne Sharma el 8 de Nov. de 2020

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Okay that makes a lot of sense! I am still running into an issue here at these lines of code. The error message I am getting it that I don't have enough input arguments (regarding my Rvector and Vvector).

In order for me to define the Rvector and the Vvector on my script, how do I get those values onto my function page?

I don't know if I am making sense haha, I guess what I am trying to say is how do I call a function with specific values that will run through my function page if I dont explicitely define the R and V vectors on my function page?

VBBV el 8 de Nov. de 2020

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Editada: VBBV el 8 de Nov. de 2020

In function page just define the same variable vectors as defined in script file as shown in my message. Inside the function you don't require or have to define R and V again. Instead you pass the vectors Rvector and Vvector as arguments and use them with norm

VBBV el 8 de Nov. de 2020

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If you delete the semicolon at the

norm(Rvector) norm(Vvector)

You can see the values of magnitude in command window once the run is completed .

Ashlianne Sharma el 8 de Nov. de 2020

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Okay, so you had an amzing explaination for the norm aspect, thank you so much.

This question seems simple, But I struggle with this since the start of the class.

Script %note I changed Rvector to R for simplicity

% Define given vectors as variables

R = [15370 100 21950]; % [km]

V = [-0.1 3.84 -0.2]; % [km/s]

% Call function with the structured variables we created above

[a, e, nu, i, RAAN, w] = hw_COE_sharmaAshlianne(R, V);

Function: line one, after this line, I finished the rest of my code.

function[a, e, nu, i, RAAN, w] = hw_COE_sharmaAshlianne(R, V)

Question:

When I was getting your help, I just defined my vectors inside my function. Like you say above, you dont need to do this. I took out my defined vectors from my function and I now get an error message saying I do not have enough input arguments. I don't know how to pass the variables through. Like I know the variables have to be the same on the script and function page, But that isnt working for me. Any explaination on passing variables through the function would be great help... The matlab version online hasnt been too much of help. Thank you Vasishta!

VBBV el 8 de Nov. de 2020

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Did you name the file exactly the same as function name? I.e. the name of the file which contains your function code and name of the function must be same. The name of file in which function code is present must be

hw_COE_sharmaAshlianne.

If you name something else then it will not run.

Ashlianne Sharma el 8 de Nov. de 2020

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yeah I saved the file as the same name as my function. Everything was working until I removed the R and V vectors from the function file

Ashlianne Sharma el 8 de Nov. de 2020

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So when I run my script that I call my function on, it works perfectly, however, I when I run my function file, i get the message that there are not enough input arguments

VBBV el 8 de Nov. de 2020

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Oh. You seem to have changed the names of variables Rvector and Vvector in your script file from which you're calling function. Change it to

Rvector = [values] Vvector = [values]

VBBV el 8 de Nov. de 2020

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Editada: VBBV el 8 de Nov. de 2020

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Keep the same structure like before in the first post.

% if true

% code

% end

Rvector = [15370 1400 21950]; % [km]

Vvector = [-0.1 3.84 -0.2]; % [km/s]

%

[a, e, nu, i, O, m] = hw_COE_sharmaAshlianne(Rvector, Vvector);

VBBV el 8 de Nov. de 2020

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Rvector, Vvector must have same names in script file and function file

Ashlianne Sharma el 8 de Nov. de 2020

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okay, that makes sense. Just so I am understanding,

script

Rvector = [15370 1400 21950]; % [km]

Vvector = [-0.1 3.84 -0.2]; % [km/s]

%

[a, e, nu, i, O, m] = hw_COE_sharmaAshlianne(Rvector, Vvector);

Function

function[a, e, nu, i, RAAN, w] = hw_COE_sharmaAshlianne(Rvector, Vvector)

and everywhere in my code that R and V exist in my function, the variable should be Rvector and Vvector aswell?

VBBV el 8 de Nov. de 2020

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Editada: VBBV el 8 de Nov. de 2020

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https://in.mathworks.com/help/matlab/ref/function.html

Check the syntax of function declaration. You require space between the word function and output variable vector

%if true

% code

%end

function [a,e,nu,i,O,m]=

w_COE_sharmaAshlianne(Rvector,Vvector)

...

r = norm(Rvector);

v = norm(Vvector)

...

end % close function file with end statement

Ashlianne Sharma el 8 de Nov. de 2020

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Okay, Thank you so much for your help!! i will definitely look more to the page you sent me, I think that may be very useful. Again, Thank you so much for taking So SO much time out to help me. I am just a struggling college student haha but yes, I really appreciate your time and help Vasishta!

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finding magnitude of a vector (2024)

FAQs

Finding magnitude of a vector? ›

Thus, the formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x2 + y2). This formula is derived from the Pythagorean theorem. the formula to determine the magnitude of a vector (in three-dimensional space) V = (x, y, z) is: |V| = √(x2 + y2 + z2)

What is the formula for finding the magnitude of a vector? ›

Various formulas are used to calculate the magnitude of the vector some of them are, |A| = √(x2 + y2 + z2) when the vector is in the form of A = xi + yj + zk. |A| = √((x)2 + (y)2) when the vector is given by point A (x, y) and the origin O(0, 0).

What is the magnitude of the vector? ›

The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥. See the introduction to vectors for more about the magnitude of a vector. Formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are derived in this page.

What is the magnitude of the vector 3i 4j? ›

Therefore the magnitude of the vector 3i +4j, is 5 units. This statement can be mathematically written as: |3i+4j| = 5. (The vertical lines mean magnitude).

What is the formula for the magnitude of a vector product? ›

The magnitude vector product of two given vectors can be found by taking the product of the magnitudes of the vectors times the sine of the angle between them.

What is the formula of magnitude of unit vector? ›

Unit Vector is represented by the symbol '^', which is called a cap or hat, such as ^a a ^ . It is given by ^a a ^ = a/|a| Where |a| is for norm or magnitude of vector a. It can be calculated using a unit vector formula or by using a calculator.

What is the formula for the magnitude of a vector3? ›

The magnitude of a vector signifies the positive length of a vector. It is denoted by |v|. For a 2-dimensional vector v = (a, b) the magnitude is given by √(a2 + b2). For a 3-dimensional vector, V = (a, b, c) the magnitude is given by √(a2 + b2 + c2).

What is the magnitude of the vector 61 2j 3k? ›

The correct answer is – Hence, the correct option is (c) 7.

What is the magnitude of the vector 4 2? ›

To find the magnitude and direction of the vector <4, 2>, we can use the Pythagorean theorem. The magnitude of the vector is found by taking the square root of the sum of the squares of its components: Magnitude = √(42 + 22) = √20 = 4.5 (rounded to the nearest tenth).

What are the first two steps for finding the magnitude of the resultant vector? ›

Expert-Verified Answer

The first two steps for finding the magnitude of the resultant vector is find the sum of the two horizontal vectors and the sum of the two vertical vectors.

How to determine the magnitude and direction of a vector? ›

Determine the magnitude and direction of vector . Step 1: Use the equation A = A x 2 + A y 2 to calculate the magnitude of the vector. Step 2: Use the equation Θ = tan − 1 ⁡ ( A y A x ) to calculate the direction of the vector.

How do you find the magnitude of a vector sum? ›

What is the Formula For the Addition of Vectors? This is the addition of vectors formula: Given two vectors a = (a1, a2) and b = (b1, b2), then the vector sum is, M = (a1 + b1, a2 + b2) = (Mx, My). In this case, magnitude of the resultant vector sum M = |M| = √ ((Mx)2+(My)2) and.

How do you find the magnitude of a vector on a calculator? ›

The magnitude of a vector can be found by taking the square root of the sum of the squares of the vector's components. For a vector in n-dimensional space, use the formula: ||v|| = √(v1^2 + v2^2 + ... + vn^2).

How to calculate the magnitude of resultant force? ›

To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.

What is the formula for a vector in math? ›

Vector equations ares used to represent the equation of a line or a plane with the help of the variables x, y, z. The vector equation defines the placement of the line or a plane in the three-dimensional framework. The vector equation of a line is r = a + λb, and the vector equation of a plane is r.n = d.

What is the formula for the magnitude of the acceleration? ›

If you know the mass m and the force F, the magnitude of the acceleration would be |a| = |F|/m. If you know the components of the acceleration, it would be the square root of the sum of the squared components: |a| =√(ax² + ay² + az²).

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