Question

Consider point p and the equation L, find the distance from P to L

Answer 1

\[\left(\begin{matrix}x \\ y\\z\end{matrix}\right) = \left(\begin{matrix}2 \\ 2\\3\end{matrix}\right) + t \left(\begin{matrix}3 \\ 5\\0\end{matrix}\right)\]

Answer 2

and point P (0,4,-1)

Answer 3

I can get up to finding a point on the line of the equation when t=0 so Q=(2,2,3) and I find vector u that begins at Q and ends at p to be (-2,2,2) BUT my equation in my notes says \[proj _{d}u = \frac{ u \times d }{ d \times d } \times d\] I don't get where the d comes from??

Answer 4

Helpful, THANKS

Answer 5

I have never seen this notation in my life, ever. What is this

Answer 6

Projections

Answer 7

what branch of math does that fall under

Answer 8

linear algebra

Answer 9

so we are looking at the "projection" of (0,4,-1) ?

Answer 10

we are looking at the projection off of the equation of the line to point P.

Answer 11

is this question from a book

Answer 12

No, it's an assignment. I think I got it anyways, thanks.

Answer 13

See, I knew my Jackie Chan picture would help.

Answer 14

Yes, your confusion brightened my question!

Answer 15

lolz