So, I am to find a parametric equation for the line through [tex]P_1[/tex] and [tex]P_2[/tex] and then determine (if possible) the points at which the line intersects each of the coordinate planes.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]P_1[/tex] (5,-2,4)

[tex]P_2[/tex] (2,6,1)

[tex]\vec{P_{1}P_{2}}[/tex] <-3,8,-3>

x = 5-3t

y = -2+8t

z = 4-3t

So I got this far, but now I am not sure on what to do to find out if the line intersects the coordinate planes. I want to say that when the x, y, or z values are 0 in the parametric equations, is when the line intersects that plane, but I am not sure how to put it. If anyone can help me out there that would be great. Thanks!

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# Homework Help: Quick Vector intersection question

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