Question

Determine the $y$ coordinate of the point on the line \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -5 \\ -2 \\ -1 \end{bmatrix} + t \begin{bmatrix} 2 \\ -3 \\ 2 \end{bmatrix} closest to the point $(-2, -4, -4)$. \newline -21/17 \newline -219/17 \newline -73/17 \newline -5/17 \newline -52/17

          Determine the $y$ coordinate of the point on the line \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -5 \\ -2 \\ -1 \end{bmatrix} + t \begin{bmatrix} 2 \\ -3 \\ 2 \end{bmatrix} closest to the point $(-2, -4, -4)$. \newline -21/17 \newline -219/17 \newline -73/17 \newline -5/17 \newline -52/17

Determine the y coordinate of the point on the line
< b m a t r i x >
=
< b m a t r i x >
+ t
< b m a t r i x >
closest to the point (-2, -4, -4). -21/17 -219/17 -73/17 -5/17 -52/17

Added by Dana Y.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Madhur L

04/26/2022

Step 1

To find the equation of the line, we need to find the direction vector of the line and a point on the line. The direction vector of the line is given by the differences in the x, y, and z coordinates of the two points. So, the direction vector is [y-x, -2-(-5), Show more…

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