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**1. The problem statement, all variables and given/known dat**

A car travels 20 mi at 60 degrees north of west, then 35 mi at 45 degrees north of east.

Express each displacement vector in unit vector notation. Take the +x-axis due east and the +y-axis due north. Use the component method to obtain the resultant displacement vector in unit vector notation.

## Homework Equations

[tex]\ A = \ A_x i + \ A_y j[/tex]

[tex]\ B = \ B_x i + \ B_y j[/tex]

[tex]\ C = \ C_x i + \ C_y j[/tex]

## The Attempt at a Solution

A= -20sin60i+35cos60j

B=35cos45i+20sin45

C=?

How do I find C, since no lengths were given. Did I do A and B correctly?

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