Given Two Distinct Nonzero Vectors a and B, Is It $\left| \operatorname { proj } _ { \mathbf { a } } \mathbf { b } \right| = \left| \operatorname { proj } _ { \mathbf { b } } \mathbf { a } \right|$

Short Answer

Given two distinct nonzero vectors a and b, is it always true that $\left| \operatorname { proj } _ { \mathbf { a } } \mathbf { b } \right| = \left| \operatorname { proj } _ { \mathbf { b } } \mathbf { a } \right|$ ?