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Chapter 10: Q 47. (page 801)

Find a vector in the direction opposite to-1,-4,-6andwith magnitude 7.

Short Answer

Expert verified

The required vector is7531,4,6.

Step by step solution

01

Step 1. Given information.

The given vector is:

v=-1,-4,-6 with magnitude 7.

02

Step 2. Find the norm of the vector.

v=-1,-4,-6v=-12+-42+-62=1+16+36=53

Therefore, the norm of the given vector is 53.

03

Step 3. Find the vector.

We know that the vector in the direction of vis av-v. Here ais the magnitude of the given vector and the negative sign shows the direction opposite to v=-1,-4,-6.

The required vector is:

av-v=753--1,-4,-6=7531,4,6


Therefore the vector in the direction opposite tov=-1,-4,-6and with a magnitude of 7 is 7531,4,6.

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