Find the angle between the planes \(\vec { r } .(\hat { i } +\hat { j } -2\hat { k } )\) = 3 and 2x - 2y + z =2

Find the length of the perpendicular from the point (1, -2, 3) to the plane x - y + z = 5.

Find the acute angle between the planes \(\vec { r } .(2\hat { i } +2\hat { j } +2\hat { k } )\) and 4x-2y+2z = 15.

Find the distance of a point (2, 5, −3) from the plane \(\vec { r } .(6\hat { i } -3\hat { j } +2\hat { k } )\) = 5

Find the distance between the parallel planes x + 2y - 2z + 1 = 0 and 2x + 4y - 4z + 5 = 0