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Condition for Coplanarity of Four Points

The vectors ...

Question

The vectors $2 i + 3 j - 4 k$ and $a i + b j + c k$ are perpendicular, when

A

a = 2, b = 3, c = - 4

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B

a = 4, b = 4, c = 5

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C

a = 4, b = 4, c = - 5

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D

none of these

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Solution

The correct option is B $a = 4, b = 4, c = 5$
$(2 i + 3 j - 4 k) . (a i + b j - c k) = 2 a + 3 b - 4 c = 0$ ...(1)
$a = 4, b = 4, c = 5$ satisfy eq. (1)

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Condition for Coplanarity of Four Points

Standard XII Mathematics

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