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Chapter 10: Q 40. (page 801)

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

v=2,1,-5

Short Answer

Expert verified

v=30 and the unit vector in the direction of vis 1302,1,-5.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=2,1,-5

02

Step 2. Find the norm of the vector.

v=2,1,-5v=22+12+52=4+1+25=30

Therefore, the norm of the given vector is30.

03

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

The unit vector in the direction of vis the vector:

1vv=1302,1,-5

Therefore, the unit vector in the direction ofv=2,1,-5is1302,1,-5.

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