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Q.

The vector equation of the plane passing through $a, b, c$ is $r = α a + β b + γ c$ provided

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a

$α + β = γ$

b

$α + β + γ = 1$

c

$α^{2} + β^{2} + γ^{2} = 1$

d

$α + β + γ = 0$

answer is B.

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Detailed Solution

$eq of plane r = (1 - s - t) a + s b + t c α = 1 - s - t β = s γ = t α + β + γ = 1$

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