Find the distance of the z-axis from the image of the point M(2,-3,3) in the plane x - 2y - z + 1 = 0
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answer is 1.
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Detailed Solution
If image of point (2, - 3, 3) in the plane x - 2y - z + 1 = 0 is (a, b, c), thena-21=b+3-2=c-3-1=-2(2-2(-3)-3+1)(1)2+(-2)2+(-1)2=-2Hence, the image is (0, 1, 5)Obviously distance of image of the point from the z-axis is 1