# linear algebra

posted by Angel

Find the scalar equation for the plane passing through the point P=(0, 2, −1) and containing the line L defined by

x = 2+t
y = 4+t
z = −6+7t

1. Arora

Since t is a variable, you can obtain three different points on the plane:

a) (0,2,-1) Given in the question
b) (2,4,-6) by setting t=0
c) (3,5,1) by setting t=1

If you know three points in a plane, you can use them to find a unique equation for the plane. Try it out

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