Find parametric equations for the line that crosses the x-axis

adOrmaPem6r

adOrmaPem6r

Answered question

2021-12-06

Find parametric equations for the line that crosses the x-axis where x=2 and the z-axis where z=4

Answer & Explanation

Uersfeldte

Uersfeldte

Beginner2021-12-07Added 20 answers

Step 1
We have two points through with the line passes.
(2, 0, 0) and (0, 0, 4)
Concept: If we have two points given say (a, b, c) and (d, e, f) then, position vector r(t) will be −
r(t)=(a, b, c)+t(d, e, f)
Then parametric equations will be −
x(t)=a+dt
y(t)=b+et
z(t)=c+ft
Step 2
For (2, 0, 0) and (0, 0, 4)
r(t)=(2, 0, 0)+t(0, 0, 4)
Parametric equations −
x(t)=2
y(t)=0
z(t)=4t

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?