Question: a. Show that the distance between the parallel planes Ax + By + Cz = D 1 and Ax + By + Cz = D

a. Show that the distance between the parallel planes Ax + By + Cz = D₁ and Ax + By + Cz = D₂ is d = |D - D| Ai + Bj + Ck

b. Find the distance between the planes 2x + 3y - z = 6 and 2x + 3y - z = 12.

c. Find an equation for the plane parallel to the plane 2x - y + 2z = -4 if the point (3, 2, -1) is equidistant from the two planes.

d. Write equations for the planes that lie parallel to and 5 units away from the plane x - 2y + z = 3.

d = |D - D| Ai + Bj + Ck

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a To show that the distance between the parallel planes Ax By Cz D1 and Ax By Cz D2 is given by dD1D2AiBjCk we can use the formula for the distance be... View full answer

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