Suppose that a vector a in the xy‐plane points in a direction that is 47° counterclockwise from the positive x‐axis, and a vector b in that plane points in a direction that is 43° clockwise from the positive x‐axis. What can you say about the value of a ⋅ b?

Step-by-step explanation:

Dot Product of Vectors

Suppose we have two vectors and , the dot product of both vectors is defined as

where |a| and |b| are the respective magnitudes of the vectors and is the angle between them.

The angle of the first given vector is 47° counterclockwise and the second is 43° clockwise. The angle between the vectors is 90°, thus

Since cos 90° = 0

The dot product of two perpendicular vectors is zero

u dumb boi

step-by-step explanation: