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

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

Given Two Distinct Nonzero Vectors a and B, Is It ∣proj⁡ab∣=∣proj⁡ba∣\left| \operatorname { proj } _ { \mathbf { a } } \mathbf { b } \right| = \left| \operatorname { proj } _ { \mathbf { b } } \mathbf { a } \right|∣proja​b∣=∣projb​a∣

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