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1. The problem statement, all variables and given/known data

Below is the question given.

"Give a vector description of a point P that is on-third of the way from A to B on the line segment AB."

2. The attempt at a solution

I'm not sure where to go with this, all I really have at this point is a line A-B 6 squares long on my graph paper, with the point P at square 2.

From there I have drawn a two vectors above the line, they both originate at O and descend down to A and B, such that another vector descends from O to P at 90 degrees.

I believe that I have to use the Proj of u onto v at some point (or b onto a), but I'm unsure how to incorporate this into the solution.

Code (Text):

O

/|\

/ | \

a / | \ b

/ | \

/ | p \

/ | \

A______|_____________B

P

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# Vector Geometry

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