# Thread: How to convert cartesian to parametric ( VECTOR, PLANES)

1. ## How to convert cartesian to parametric ( VECTOR, PLANES)

Hi, I need some help with this question.

The plane 3x-2y+z=7 contains the point (1,-2,0) and is perpendicular to (3,-2,1).

find the equation of the plane in parametric form.

thanks!

2. Originally Posted by wonderrrgirl
Hi, I need some help with this question.

The plane 3x-2y+z=7 contains the point (1,-2,0) and is perpendicular to (3,-2,1).

find the equation of the plane in parametric form.

thanks!
"The plane ..... contains the point (1,-2,0) and is perpendicular to (3,-2,1)" is redundant information since this information is contained in the given Cartesian equation.

Let x = t and y = s. Then z = 7 - 3x + 2y = 7 - 3t + 2s.

This is one of an infinite number of possible parametric forms.

3. So there can be more than one answer?
Thanks!

4. Originally Posted by wonderrrgirl
So there can be more than one answer?
Thanks!
Yes.

Another possible answer is x = t + 1, y = s + 1, z = 7 - 3x + 2y = 7 - 3(t+1) + 2(s+1) = 6 - 3t + 2s.

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### how to convert cartesian to parametric

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