Question

 find a unit vector in the direction of the given vector. Verify that the result has a magnitude of 1.

Answer 1

 Step 1:

 The vector is  .

The unit vector in the direction of  is .

The magnitude of the vector :

Step 2:

The unit vector is .

Let be the unit vector of .

The unit vector in the direction of is .

Step 3:

Find the length of unit vector .

The unit vector has length 1.

Solution :

The  unit vector in the direction of is .