Chapter 14.2, Problem 2CE

a.

To determine

Write a code to find out the magnitude and angle of the given vector.

Answer to Problem 2CE

The solution is,

  

Explanation of Solution

Given:The vector is,

  $vector=7i-6j$

Calculation:

We know the vector,

  $vector=7i-6j$

Where,

  $u=7,v=-6$

Then,

  $magnitude=\sqrt{u^2+v^2}$

Calculate the angle,

  $angle=a\tan 2(v,u)$

Convert angle from radian to degree by multiplying $\frac{180}{\pi }$ .

program:

clc
clear
close all
x=7;
y=-6;
magnitude=sqrt(x.^2+y.^2);
angle=atan2(y,x).*180/pi;
T=table(x,y,magnitude,angle)

Query:

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

b.

To determine

Write a code to find out the magnitude and angle of the given vector.

Answer to Problem 2CE

The solution is,

  

Explanation of Solution

Given:The vector is,

  $vector=-15i+8j$

Calculation:

We know the vector,

  $vector=-15i+8j$

Where,

  $u=-15,v=8$

Then,

  $magnitude=\sqrt{u^2+v^2}$

Calculate the angle,

  $angle=a\tan 2(v,u)$

Convert angle from radian to degree by multiplying $\frac{180}{\pi }$ .

program:

clc
clear
close all
x=-15;
y=8;
magnitude=sqrt(x.^2+y.^2);
angle=atan2(y,x).*180/pi;
T=table(x,y,magnitude,angle)

Query:

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

c.

To determine

Write a code to find out the magnitude and angle of the given vector.

Answer to Problem 2CE

The solution is,

  

Explanation of Solution

Given:The vector is,

  $vector=-57.3i-28.9j$

Calculation:

We know the vector,

  $vector=-57.3i-28.9j$

Where,

  $u=-57.3,v=-28.9$

Then,

  $magnitude=\sqrt{u^2+v^2}$

Calculate the angle,

  $angle=a\tan 2(v,u)$

Convert angle from radian to degree by multiplying $\frac{180}{\pi }$ .

program:

clc
clear
close all
x=-57.3;
y=-28.9;
magnitude=sqrt(x.^2+y.^2);
angle=atan2(y,x).*180/pi;
T=table(x,y,magnitude,angle)

Query:

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