Guided Example #2 - Vectors

Guided Example

Find the dot product of the vectors P and Q given that the angle between the two vectors is 45° and

|P|=25 units and |Q|=4 units

a. 50
b. LaTeX: 50\sqrt 2502
c. LaTeX: 50\sqrt 3503
d. None of the above

 

The correct answer is B. To see why, view each of the steps below.

 

Using our formula from before for dot product:
PQ=|P||Q|cosθ