Answer: Given plane, 2x + y – 2z + 5 = 0 The point is (2, 1, 0).
Find the distance of the point (2, 1, 0) from the plane 2x + y – 2z + 5 = 0.
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Exercise 28C
Find the distance of the point (1, 1, 2) from the plane plane 
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Answer: Given plane, $\overrightarrow r .(2\widehat i - 2\widehat j + 4\widehat k) + 5 = 0$ The cartesian form: 2x – 2y + 4z + 5 = 0 The point is (1, 1, 2).
Find the distance of the point (3, 4, 5) from the plane 
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Answer: Given plane, $\overrightarrow r .(2\widehat i - 5\widehat j + 3\widehat k) = 13$ The cartesian form: 2x – 5y + 3z – 13 = 0 The point is (3, 4, 5).
Find the distance of the point 
from the plane 
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Answer: Given plane, $\overrightarrow r .(\widehat i + \widehat j + \widehat k) + 17 = 0$ The cartesian form: x + y + z +17 = 0 The point is $(\widehat i + 2\widehat j + 5\widehat k)$ => (1, 2,...
Find the distance of the point 
from the plane 
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Answer: Given plane, $\overrightarrow r .(3\widehat i - 4\widehat j + 12\widehat k) = 9$ The cartesian form: 3x – 4y + 12z – 9 =0 The point is $(2\widehat i - \widehat j - 4\widehat k)$ => (2,...
Find the equation of the plane passing through each group of points: (i) A (2, 2, -1), B (3, 4, 2) and C (7, 0, 6) (ii) A (0, -1, -1), B (4, 5, 1) and C (3, 9, 4)
Answer: (i) Given, A (2, 2, -1) B (3, 4, 2) C (7, 0, 6) ...