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If L is a line through the origin in R2, the orthogonal projection onto L is the map P: R2

--> R2 defined as follows: Given x ε R2, draw a right triangle whose hypotenuse is given by x with one leg on the line L.


The vector which lies along the leg on L is P(x). Draw pictures illustrating that P is a linear map.


How would I do this

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p1answ.png

Answer ; -
Given that,
If I is alive through the origin in
R " , the orthogonal projection onto I is the map
P: Ra Ra defined as.
XER, & drawing a right triangle whose
hypotenuse is given...

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