The dot product of two vectors

cbse
motion-in-plane

#1

The dot product of two vectors vanishes when vectors are orthogonal and has maximum value when vectors are parallel to each other. Explain.


#2

We know that A • B = AB cos θ, when vectors are orthogonal θ = 90°. So, A.B = AB cos90° = 0, when vectors are parallel then θ = 0°. So, A • B = AB cos 0° = AB (maximum)