find the intersection of the line and plane x 3y 2z 12 vecrt beginbmatrix 1 1 3 endbmatrix t beg

Name: find the intersection of the line and plane x 3y 2z 12 vecrt beginbmatrix 1 1 3 endbmatrix t beginbmatrix 1 0 3 endbmatrix p boxed boxed boxed 24886
Uploaded: 2026-03-04T13:47:00-08:00
Channel: Numerade
Description: find the intersection of the line and plane x 3y 2z 12 vecrt beginbmatrix 1 1 3 endbmatrix t beginbmatrix 1 0 3 endbmatrix p boxed boxed boxed 24886

Question

Hast Aggarwal · Answer

So in this question in problem find point of intersection of given plane and line x plus y plus

William Semus · Answer

question, we&#x27;re going to find the intersection of the line and plane. I have a plane the opposit

Linh Vu · Answer

To find the intersection between the line given by the x equal to 2, Y equal to 3 plus 2T, and t

Linh Vu · Answer

Here we&#x27;re given the equation of the line, it is x equal to the 3 t, y equal to the t, and z equ

Linh Vu · Answer

Equation here we&#x27;re given the equation the plan equal to the x minus y plus 5 z equal to 10 and

Question

Find the intersection of the line and plane: $$x + 3y - 2z = -12,$$ $$\vec{r}(t) = \begin{bmatrix} 1 \\ 1 \\ 3 \end{bmatrix} + t \begin{bmatrix} 1 \\ 0 \\ 3 \end{bmatrix}$$ $$P = ( \boxed{ }, \boxed{ }, \boxed{ })$$

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