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Chapter 9: Q. 49 (page 603)

find the unit vector in the same direction asvv=3i-4j

Short Answer

Expert verified

The unit vector in the direction of the vectorv=3i-4jisu=35i-45j

Step by step solution

01

Step 1. Given data

The given vector is

v=3i-4j

02

Step 2. Finding the magnitude of the given vector

The magnitude of the vector v=3i-4jis

v=(3)2+(-4)2鈬�v=9+16鈬�v=25鈬�v=5

03

Step 3. Finding the unit vector

The unit vector uin the direction of vis:

u=vv

Substitute the values of vector and magnitude vector in the formula.

u=3i-4j5鈬�u=35i-45j

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