What's the visual and mathematical difference between a vector projection of #a# onto #b# and an orthogonal projection of #a# onto #b#? Are they just different ways to say the same thing?

1 Answer
Apr 13, 2016

Answer:

Despite that the magnitude and direction are the same, there is a nuance. The orthogonal-projection vector is on the line in which the other vector is acting. The other could be parallel

Explanation:

Vector projection is just projection in the direction of the other vector.

In direction and magnitude, both are the same. Yet, the orthogonal-projection vector is deemed to be on the line in which the other vector is acting. Vector projection may possibly be parallel