Question

Find the dot product v · w and the angle between v and w.

v = 3i - j + 2k, w = i + j - k

Answer 1

Step 1:

The vectors are and .

The dot product of the vectors and is,

.

The dot product of the vectors and is

.

Step 2:

Angle between the vectors is .

 

The magnitude of vector is

The magnitude of vector is

Angle between the vectors is .

Solution:

The dot product is and angle between the vectors is .