eozoischgc

2022-01-07

Find an equation for the plane containing the two (parallel) lines

${v}_{1}=(0,1,-2)+t(2,3,-1)$

${v}_{2}=(2,-1,0)+t(2,3,-1)$

Joseph Lewis

Beginner2022-01-08Added 43 answers

Given:

Let

Thus, the plane containing these two lines will contain A and B. Hence, the vector

Normal to the plave shall be the cross product of AB and the direction ratio of the lines.

Thus,

Thus, the equation of the plane can be written as

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