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Q 49.

Found in: Page 801


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Find a vector in the direction opposite to 0,-3,4 and with magnitude 10.

The required vector is 20,3,-4.

See the step by step solution

Step by Step Solution

Step 1. Given information.

The given vector is:

v=0,-3,4 with magnitude 10.

Step 2. Find the norm of the vector.


Therefore, the norm of the given vector is 5.

Step 3. Find the vector.

We know that the vector in the direction of v is av(-v). Here a is the magnitude of the given vector and the negative sign shows the direction opposite to v=0,-3,4.

The required vector is:

localid="1649520584341" av-v=105-0,-3,4=20,3,-4

Therefore the vector in the direction opposite to v=0,-3,4 and with a magnitude of 10 is 20,3,-4.

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