Find a set of parametric equations of the line

goymdujf

goymdujf

Answered question

2021-11-29

Find a set of parametric equations of the line that passes through the point
(5, 6, 7)
and is parallel to the xz-plane and the yz-plane.

Answer & Explanation

Fommeirj

Fommeirj

Beginner2021-11-30Added 11 answers

Step 1
The given point is (5, 6, 7).
to find the set of parametric equations of line passing through the given point and
it is parallel to z−plane and yz−plane.
Step 2
The parametric equations of given point (5, 6, 7) are
x=5+0t, y=6+0t, z=7+0t
If a line is parallel to both xz−plane and yz−plane, it has to be parallel to the intersection of the two planes that is the z−axis.
Therefore we take the unit vector that on the z−axis.
v=0, 0, 1

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