Question

1[35p) Write a user-defined MATLAB function that determines the unit vector in the direction of the line that connects two points (A and B) in space. For the func- tion name and arguments, use n = unitvec (A,B). The input to the function are two vectors A and B, each with the Cartesian coordinates of the corre- sponding point. The output is a vector with the components of the unit vector Join the direction from A to B. If points A and B have two coordinates each (they are in the x y plane), then n is a two-element vector. If points A and B have three coordinate each (general points in space), then n is a three-element vec- tor. Use the function to determine the following unit vectors: (a) In the direction from point (1.2, 3.5) to point (12, 15) (b) In the direction from point (-10, -4, 2.5) to point (-13, 6, -5) code results

please solve in matlab

Answer 1

• Suppose, is A vector and is B vector, then the unit vector connecting A and B is given by

$\frac{(x_1-x_0)i + (y_1-y_0)j +( k_1-k_0)k}{\sqrt{(x_1-x_0)^2 + (y_1-y_0)^2 +( k_1-k_0)^2}}$

Matlab function:

function n = unitvec(A, B)

n = B-A;

n = n./(sqrt(sum(n.^2)));

end

a.) output for 2D points

n = unitvec([1.2 3.5],[12 15]) n = 1x2 0.6846 0.7289

b.) output for 3D points

n = unitvec([-10 -4 2.5], [-13 6 -5]) n = 1x3 -0.2334 0.7779 -0.5834