Please Help!

Find the point P where the line x=1+t y=2t z=-3t intersects the plane x+y-z=-2

Find the distance from the point (-1,2,3) to the plane -1x+0y-2z=5

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- June 9th 2008, 07:10 PMkarnold9find the distance, find the point
Please Help!

Find the point P where the line x=1+t y=2t z=-3t intersects the plane x+y-z=-2

Find the distance from the point (-1,2,3) to the plane -1x+0y-2z=5 - June 9th 2008, 07:19 PMTheEmptySet
plug x,y,z into the equation of the plane to get

Plug this value into the parametric equation to find the point.

for part b write the plane is this form

and use the formula from this link

Point-Plane Distance -- from Wolfram MathWorld

I hope this helps.