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Chapter 9: Q. 37 (page 630)

Find the direction angle between i andv=-i+3j.

Short Answer

Expert verified

The direction angle is120掳.

Step by step solution

01

Step 1. Given Information

The given vector isv=-i+3j.

02

Step 2. Finding the direction angle 

The direction angle i of v=-i+3jcan be found by solving tan胃=yx.

Here y=3andx=-1.

So, the angle is

tan胃=3-1tan胃=-3tan胃=-tan60掳tan胃=tan180掳-60掳胃=120掳

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