Pia R.

asked • 08/25/16

equation of plane that contains point (2,0,3) and line x=-1+t, y=t, z=-4+2t

I tried solving it and I got -x-5y+3z=7 but it seems wrong. Any help please?

1 Expert Answer

By:

Kendra F. answered • 08/26/16

Patient & Knowledgeable Math & Science Tutor

Pia R.

why did you do 
a is vector from (0,1,-2)and(-1,0,-4)
b is vector from (0,1,-2) and (2,0,3)
 
and not
a is (2,0,3) and (-1,0,4)
and (2,0,3) and (0,1,-2)
im asking cause i used these and ended up with a way different answer which is -x+17y-3z =11
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08/26/16

Kendra F.

The point (-1,0,4) does not fall on the line. At t = 0 the point is (-1, 0, -4)
This is why your answer is off.
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08/26/16

Pia R.

oh right so you mean it doesnt matter what i choose like something like a reference point?
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08/26/16

Kendra F.

Yea. It shouldn't matter because all the points lay on the plane. I reworked the problem using the same points as you (with the added negative sign) and arrived at the same answer then noticed the missing sign. Make sure to check your steps carefully and good luck!
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08/26/16

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