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Chapter 9: Q. 35 (page 630)

Find a unit vector in the same direction as v=-2i+j.

Short Answer

Expert verified

The unit vector in the direction ofv=-2i+jis -255i+55j.

Step by step solution

01

Step 1. Given information

We have been given a vector v=-2i+j.

We have to find a unit vector in the same direction of v.

02

Step 2. Write the formula

Unit vector in the direction of v=ai+bjis given as:

u=vvv=a2+b2

03

Step 3. Find the unit vector in the direction of v

u=v鈭�v鈭�=鈭�2i+j鈭�鈭�2i+j鈭�=鈭�2i+j(鈭�2)2+12=鈭�2i+j5=-25i+j5=-255i+55j

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