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Chapter 10: Q 41. (page 801)

In Exercises 37–42, find v and find the unit vector in the direction of v.

v=1,1,1

Short Answer

Expert verified

v=3and the unit vector in the direction ofvis131,1,1.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=1,1,1

02

Step 2. Find the norm of the vector.

v=1,1,1v=12+12+12=3

Therefore, the norm of the given vector is3.

03

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

The unit vector in the direction of vis the vector:

1vv=131,1,1

Therefore, the unit vector in the direction of v=1,1,1is 131,1,1.

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