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Find the Value of A, If Four Points with Position Vectors `3hati + 6hatj+9hatk`, `Hati + 2hatj + 3hatk`,`2hati + 3hatj + Hatk` and `4hati + 6hatj + Lambdahatk` Are Coplanar - CBSE (Science) Class 12 - Mathematics

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Question

Find the value of λ, if four points with position vectors `3hati + 6hatj+9hatk`, `hati + 2hatj + 3hatk`,`2hati + 3hatj + hatk` and `4hati + 6hatj + lambdahatk` are coplanar.

Solution

Let
A:(3,6,9)

B:(1, 2,3)

C:(2,3,1)

D:(4,6,λ)

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Solution Find the Value of A, If Four Points with Position Vectors `3hati + 6hatj+9hatk`, `Hati + 2hatj + 3hatk`,`2hati + 3hatj + Hatk` and `4hati + 6hatj + Lambdahatk` Are Coplanar Concept: Scalar Triple Product of Vectors.
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