Lety=\begin{bmatrix}3\\1\end{bmatrix}andu=\begin{bmatrix}8\\

York 2021-11-05 Answered

Let
[31]
and [86]
Compute the distance from y to the line through u and the origin.

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Expert Answer

hesgidiauE
Answered 2021-11-06 Author has 106 answers

Formula for orthogonal projection:
y^=yuuuu
Formula for distance:
||yy^||
yu=(3,1)(8,6)=24+6=30
uu=(8,6)(8,6)=64+36=100
y^=30100u=36[86]=[24/1018/10]
yy^=[31][24/1018/10]=[3/54/5]
||yy^||925+1625=1=1

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