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Chapter 9: Q. 36 (page 630)

Find the vector v in the xy-plane with magnitude 3 if the direction angle of v is 60掳.

Short Answer

Expert verified

The vector v in the xy-plane with magnitude 3 and direction angle 60掳 of v is 32i+332j.

Step by step solution

01

Step 1. Given information

We have been given:

Magnitude=3

and direction angle of v=60掳

We have to find the above vector.

02

Step 2. Find the vector v using formula v=∥v∥(icosθ+jsinθ).

v=鈭�v鈭�(icos胃+jsin胃)=3icos60鈭�+jsin60鈭�=312i+32j=32i+332j

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