Find a set of parametric equations of the line with

Cordazzoyn

Cordazzoyn

Answered question

2021-11-28

Find a set of parametric equations of the line with the given characteristics
The line passes through the point (2, 4, 7) and is perpendicular to the plane given by
x+2y+z=4

Answer & Explanation

Mike Henson

Mike Henson

Beginner2021-11-29Added 11 answers

Step 1
The parametric equations of a line through (x0, y0, z0) and perpendicular to a vector a, b, c is,
x=x0+ta
y=y0+tb
z=z0+tc
A vector perpendicular to the plane x+2y+z4=0 is 1, 2, 4
and (x0, y0, z0)=(2, 4, 7)
Therefore the parametric equations are,
x=2t
y=4+2t
z=7+t

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