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Chapter 9: Q. 45 (page 622)

In Problems 45鈥�50, find the unit vector in the same direction as v.

v=5i

Short Answer

Expert verified

The unit vector in the same direction as v=5iis i

Step by step solution

01

Step 1. Given

The vector v=5i

To find the unit vector.

02

Step 2. Unit vector in the direction of v

For any nonzero vector v, the vector u=vv is a unit vector that has the same direction as v.

03

Step 3. Find v

Now,

v=5i=52=5

04

Step 4. Find the unit vector.

The unit vector,

u=vv=5i5=i

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