Question

Find a vector in the direction opposite to and with magnitude 10.

Short answer

The required vector is.

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 vis $\frac{a}{||\mathit{v}||}\left(-v\right)$. Here ais 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 toand with a magnitude of 10 is .