Vector Exercises Part 1

Polar to Cartesian Conversion

Convert each of the following vectors to Cartesian form:

Given A = 15@12
Given B = 15@78
Given C = 125@40
Given D = 100@45

Cartesian to Polar Conversion

Convert each of the following vectors back to their polar form:

$A=\left[\begin{array}{c}12 \\ -3\end{array}\right]$
$A=\left[\begin{array}{c}-12 \\ 3\end{array}\right]$
$A=\left[\begin{array}{c}-5 \\-6\end{array}\right]$
$A=\left[\begin{array}{c}4 \\ 6\end{array}\right]$

Addition & Subtraction

Add and subtract the following pairs of vectors and convert the results to polar form:

A = 25@30 and B = 15@125
A = 10@300 and B = 20@75

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