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

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

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Answer 1 · 2016-04-13T09:26:13

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

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

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Explanation:

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Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

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