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- Thread starter HATE-VECTORS
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HallsofIvy

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If the point is not on the line, choose any two points on the line and construct the vectors from each to the given point.

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And then? How do those two vectors help you find the plane?

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And then? How do those two vectors help you find the plane?

Do you know how to find a normal vector, and how it relates to finding an equation for the plane?

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I know how it relates to finding the equation. My problem is that I have no clue how to find it:-)

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I know how it relates to finding the equation. My problem is that I have no clue how to find it:-)

If you have two vectors that are not parallel, do you know an operation that always produces a third vector that is perpendicular to both of them?

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It depends on what information is given. Do you have enough information to determine the two points of intersection between the line and the other two planes?

In general, all you need are three points in the plane of interest, where not all of them are on the same line. Once you have them, you can proceed as before.

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You should be able to find the equation of the line of intersection between the two given planes. Once you have done this, you can solve the rest of the problem exactly as before, as long as the given point doesn't lie on the line.

If you're not sure how to find the line of intersection, then show us the given equations for the planes and where you got stuck.

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