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Question

If the four points with positing vectors 2^i+^j+^k,^i+^j+^k,^j^k and λ^j+^k are coplanar, then λ is equal to

A
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B
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C
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D
0
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Solution

The correct option is A 1
If four point (x1,y1,z1),(x2,y2,z2),(x3,y3,z3) and (x4,y4,z4) are coplanar, then
∣ ∣x2x1y2y1z2z1x3x1y3y1z3z1x4x1y4y1z4z1∣ ∣=0

Now,
∣ ∣3002022λ10∣ ∣=0

3(0+2λ2)=0
λ=1

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