Determine the intersection point of the line​x=7−ty=2+tz=4−3t​ and the plane π:x+2y+3z−15=0

Q: Find the distance from the point (7, -14, -21) to the plane:  2x - 3y - 6z = 1

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Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

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Q: Find the distance from the point (−1, −2, −3) to the plane 4x - 4y + 4z = 3.

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Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.

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Q: Find the equation of the XZ plane.

A: Since you have asked multiple questions in a single request we would be answering only the first…