Solved: Line-plane intersections Find the point (if it

Chapter 13, Problem 42E

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QUESTION:

42-45. Line-plane intersections Find the point (if it exists) at which the following planes and lines intersect.

\(x=3 ; \mathbf{r}(t)=\langle t, t, t\rangle, \text { for }-\infty<t<\infty\)

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QUESTION:

42-45. Line-plane intersections Find the point (if it exists) at which the following planes and lines intersect.

\(x=3 ; \mathbf{r}(t)=\langle t, t, t\rangle, \text { for }-\infty<t<\infty\)

ANSWER:

Solution 42E

Step 1:

Given that

x = 3; r(t) = 〈t, t, t〉, for − ∞ < t <

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