Question

In Exercises 37–42, find $||\mathit{v}||$ and find the unit vector in the direction of v.

Short answer

$||\mathit{v}||=\sqrt{3}$and the unit vector in the direction ofvis.

Step-by-step solution

Step 1. Given information.

The given vector is:

Step 2. Find the norm of the vector.

Therefore, the norm of the given vector is$\sqrt{3}$.

Step 3. Find the unit vector in the direction of v.

The unit vector in the direction of vis the vector:

Therefore, the unit vector in the direction of is .