Student Question

Determine the equation of a plane, P3, that intersects the planes P1: x + y + 3z - 2=0 and P2: x - y + 2z =0 in a single point.

Expert Answers

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The plane P1: x + y + 3z = 2 intersects the plane P2: x - y + 2z = 0 in a line.

Determine the cross products of the normal vectors of the two planes P1 and P2.

< 1 1 3 > X < 1 -1 2 > is < 5 1 -2>

There are infinite number of planes P3 such that P1, P2 and P3 meet at a single point.

One plane P3 that intersects the other 2 planes P1 and P2 in a single point is 5x + y - 2z = 0 .

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