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Question
If the foot of perpendicular drawn from the origin to a plane is (5, – 3, – 2), then the equation of plane is `vec"r".(5hat"i" - 3hat"j" - 2hat"k")` = 38.
Options
True
False
Solution
This statement is True.
Explanation:
The given equation of the plane is `vec"r".(5hat"i" - 3hat"j" - 2hat"k")` = 38
If the foot of the perpendicular to this plane is (5, – 3, – 2)
i.e., `5hat"i" - 3hat"j" - 2hat"k"` then
`(5hat"i" - 3hat"j" - 2hat"k").(5hat"i" - 3hat"j" - 2hat"k")` = 38
⇒ 25 + 9 + 4 = 38
38 = 38 .....(satisfied)
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