Quiz 3: Dot Product

12 m²

Find the dot product of the two vectors P and Q. P = {5 i + 2 j + 3 k} m Q = {-2 i + 5 j + 4 k} m

perpendicular

If a dot product of two non-zero vectors is 0, then the two vectors must be _____________ to each other. - parallel (pointing in the same direction) - parallel (pointing in the opposite direction) - perpendicular - cannot be determined.

sum of two vectors

The dot product can be used to find all of the following except: - sum of two vectors - angle between two vectors - component of vector parallel to another line - component of a vector perpendicular to another line.

6.65 N

The force F= 10i+12j-6k (N). Determine the magnitude of the vector component of F parallel to the line OA.

75°

The ship at O determines the coordinates of the ship at A and the airplane at B as shown. What is the angle θ between OA and OB?