• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q 48.

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 3.

The required vector is .

See the step by step solution

## Step 1. Given information.

The given vector is:

with magnitude 3.

## Step 2. Find the norm of the vector.

Therefore, the norm of the given vector is $\sqrt{42}$.

## Step 3. Find the vector.

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

The required vector is:

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