finding magnitude of a vector (2024)

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Ashlianne Sharma am 7 Nov. 2020

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Kommentiert: Ashlianne Sharma am 8 Nov. 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 am 7 Nov. 2020

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Bearbeitet: Walter Roberson am 8 Nov. 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 am 7 Nov. 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 am 8 Nov. 2020

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Bearbeitet: Walter Roberson am 8 Nov. 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 am 8 Nov. 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 am 8 Nov. 2020

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Bearbeitet: VBBV am 8 Nov. 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 am 8 Nov. 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 am 8 Nov. 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 am 8 Nov. 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 am 8 Nov. 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 am 8 Nov. 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 am 8 Nov. 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 am 8 Nov. 2020

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Bearbeitet: VBBV am 8 Nov. 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 am 8 Nov. 2020

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

Ashlianne Sharma am 8 Nov. 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 am 8 Nov. 2020

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Bearbeitet: VBBV am 8 Nov. 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 am 8 Nov. 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? ›

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

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

As per the parallelogram law of addition of vectors, for two given vectors u and v enclosing an angle θ, the magnitude of the sum, |u + v|, is given by √(u2+v2+2uvcos(θ)).

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.

How to find the magnitude of a vector with three components? ›

For a 3-dimensional vector, V = (a, b, c) the magnitude is given by √(a2 + b2 + c2).

What is the formula for the magnitude of the resultant vector? ›

The formula for finding the resultant vector when vectors are inclined to each other is: R 2 =A 2 +B 2 +2AB×cosØ, where A and B are the magnitudes and Ø is the angle between the vectors.

How to find the magnitude of two vectors together? ›

The position vector from (0,0) to (a,b), where (x2−x1)=a and (y2−y1)=b, is written as →v=→ai+→bj. This vector sum is called a linear combination of the vectors →i and →j. The magnitude of →v=→ai+→bj is given as |v|=√a2+b2. See Figure 8.8.

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 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 do you draw the magnitude of a vector? ›

Method: Drawing Vectors
  1. Decide upon a scale and write it down.
  2. Decide on a reference direction.
  3. Determine the length of the arrow representing the vector, by using the scale.
  4. Draw the vector as an arrow. Make sure that you fill in the arrow head.
  5. Fill in the magnitude of the vector.

What is the magnitude of a 4 vector? ›

The formula for the magnitude of a vector can be generalized to arbitrary dimensions. For example, if a=(a1,a2,a3,a4) is a four-dimensional vector, the formula for its magnitude is ∥a∥=√a21+a22+a23+a24.

What is the angle between vectors 3i 4j 5k and 3i 4j 5k? ›

The angle between the two vectors →A=3^i+4^j+5^k and →B=3^i+4^j−5^k will be: 90o.

How to find the magnitude of resultant force? ›

Two forces that act in opposite directions produce a resultant force. If all the forces are balanced, the resultant force is zero. that is smaller than either individual force. To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force.

What is the magnitude of vector a vector A? ›

The magnitude of a vector is always defined as the length of the vector. The magnitude of a vector is always denoted as ∥a∥.

What is the formula for magnitude of force? ›

Flexi Says: The magnitude of net force can be determined by using the formula F = ma, where F is the net force, m is the mass of the object, and a is the acceleration of the object.

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