Find parametric equations and symmetric equation for the line through (-2,2,3) which is parallel to x + 1 = (y/3) = z - 2.

Landon Wolf

Landon Wolf

Answered question

2022-08-02

Find parametric equations and symmetric equation for the line through (-2,2,3) which is parallel to x + 1 = (y/3) = z - 2.

Answer & Explanation

Irene Simon

Irene Simon

Beginner2022-08-03Added 16 answers

rewriting the symmetric equations of the given line we have.
x + 1 1 = y 3 = z 2 1 where< 1, 3, 1 > is the direction vector.
so the line with that direction through (-2, 2, 3) is...
<-2, 2, 3> + t * <1, 3, 1>
therefore...
x = -2 + t
y = 2 + 3t
z = 3 + t
solving each for t and setting them equal we have.
x + 2 1 = y 2 3 = z 3 1

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