Find parametric equations for the line through (-2,\ 0,\ 4)

Travis Fogle

Travis Fogle

Answered question

2021-11-27

Find parametric equations for the line through (2, 0, 4) parallel to v=2i+4j2k

Answer & Explanation

Anthony Caraballo

Anthony Caraballo

Beginner2021-11-28Added 15 answers

Step 1
Given,
The parametric equations for the line through (2, 0, 4) parallel to v
=2i+4j2k
We know that,
The parametric equations for the line through (x1, y1, z1) parallel to v
=ai+bj+ck is
given by
x=x1+at
y=y1+bt
z=z1+ct
Step 2
Now,
Since, the line passes through (2, 0, 4) parallel to v=2i+4j2k
So, x1=2, y1+0, z1=4
a=2, b=4, c=2
The parametric equations for the line through the point parallel to v=2i+4j2k is
given by
x=2+2t
y=0+4t=4t
z=3+(2)t=32t

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