Example 8: Find the point where the line 2t, and z = -3t intersects the plane x = 1 + t, y = – 4x+2y– 4z = -2 -

Q: x +1 L1: 2 у — 2 y 1 у — 2 z-1 x +1 L2: 1 y – 2 -1 2 3.

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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 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 a plane bisecting the line segment joining (2,0,6) and (6,2,4) and…

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Q: Which is an implicit equation for the plane through the point (-9,2, 9) and perpendicular to the…

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Q: Find the point at which the line (1, 2, 3) + t(5, 1, 1) intersects the plane -4x - 4y + 4z = -160.

A: Any point on the line <1, 2, 3> + t<5, 1, 1> can be expressed as         (1 + 5t, 2 + t,…

Q: Find the intersection point(s) (if any) of the line r(t) = (-33, 5, 6) +t(9, -3, 4) and the plane…

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Q: Find an equation for the plane through A(-2, 0, -3) and B(1, -2, 1) that lies parallel to the line…

A: Given points are