Find a set of parametric equations of the line with

shelbs624c

shelbs624c

Answered question

2021-11-26

Discover a set of parametric equations of the line with the given characteristics. The line passes through the point. (4, 5, 2) and is parallel to the xy-plane and the yz-plane

Answer & Explanation

Theirl1972

Theirl1972

Beginner2021-11-27Added 22 answers

Step 1
Given:
The line passes through the point (4, 5, 2) and is parallel to the xy-plane and the yz-plane.
Since the line is parallel to xy-plane and yz-plane, therefore it must be parallel to y-axis (Intersection of xy-plane and yz-plane).
Now to find a set of parametric equations of the line, take any point on the y-axis.
Let us take,
(0, 2, 0)
Step 2
Now the set of parametric equations is,
x=4+0×t, y=5+2×t, z=2+0×t
x=4, y=5+2t, z=2, tR

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