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Projections
The good way to understand projections is to see a couple of diagrams. Thus, given two vectors a→ and b→ we want to find out the projection of b→ onto a→. The projection is represented by Proja→ b→.
Here are a couple of diagrams illustrating the projection.
Thus, to get the projection of b→ onto a we drop straight down from the end of b till we hit and form a right angle along with the line which is parallel to a . after that the projection is the vector that is parallel to a , starts at similar point both of the original vectors started at and ends where the dashed line hits the line parallel to a .
There is a formula for finding the projection of b→ onto a→. The formula is as follow:,
Proja→ b→ = a→• b→ / (||a→||2) (a→)
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