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In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them :(a) 7x + 5y + 6z + 30 = 0 and 3x - y-10z + 4 = 0(b) 2x + y + 32 - 2 = 0 and x - 2y + 5 = 0(c) 2x - 2y + 4z + 5 = 0 and 3x - 3y + 6z-1 = 0(d) 2x – y + 3z-1 = 0 and 2x - y + 3z + 3 = 0(e) 4x + 8y + z - 8 = 0 and y + z - 4 = 0 |
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Answer» (B) `=0` (c) `=2/3` `therefore` NORMAL of the PLANES are parallel `therefore` Given planes are parallel (d)`therefore` Normal of the planes are parallel `therefore` Given planes are parallel (e) `therefore theta=45^@` |
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