(adsbygoogle = window.adsbygoogle || []).push({}); 1. Question

Verify that the line with vector equation r = 2i+4j+k + t(-4i-4j-5k) lies wholly in the plane with equation 3x-2y+4z=2.

2. The attempt at a solution

r = (2-4t)i + (4+4t)j + (1-5t)k

3(2-4t)-2(4+4t)+4(1-5t) = 2

6-12t-8-8t+4-20t = 2

t = 0

If t = 0, doesn't that mean that the line only intersects with the plane at 2i+4j+k? So then the line does not lie wholly on the plane. So there must be something wrong with this question.

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# Homework Help: Verify that the the line lies wholly in the plane.

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