Chapter 14.2, Problem 1CE

To determine

Write a code to find out the magnitude and angle of the two vectors.

Answer to Problem 1CE

The solution is,

  

Explanation of Solution

Given:The function is,

  $ATN(Z)$

Where Z is the tangent.

Calculation:

Let’s take two random vectors u and v then calculate the magnitude of the vectors as,

  $magnitude=\sqrt{u^2+v^2}$

Calculate the angle,

  $angle=a\tan 2(v,u)$

Convert angle into degree by multiplying $\frac{180}{\pi }$ .

program:

clc
clear
close all
u=linspace(10,100,10)';
v=linspace(-20,100,10)';
magnitude=sqrt(u.^2+v.^2);
angle=atan2(v,u).*180/pi;
T=table(u,v,magnitude,angle)

Query:

• First, define the two random vectors.
• Then calculate the magnitude.
• Then calculate the angle and convert into degree.