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Expert-verified Found in: Page 801 ### Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861 # Find a vector in the direction opposite to and with magnitude 10.

The required vector is .

See the step by step solution

## Step 1. Given information.

The given vector is:

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 $\frac{a}{||\mathbit{v}||}\left(-v\right)$. Here a is the magnitude of the given vector and the negative sign shows the direction opposite to .

The required vector is:

localid="1649520584341"

Therefore the vector in the direction opposite to and with a magnitude of 10 is . ### Want to see more solutions like these? 