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Question

A: If →a=^i+^i+^k,→b=4^i+3^i+4^k, →c=^i+α^j+β^k are linearly dependent and |→c|=√3, then α=±1, β=1R: For coplanar vectors every vector can be expressed as linear combination of other.

A
A,R are correct. R is correct explanation of A
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B
A,R are correct, R is not correct explanation of A
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C
A is correct, R is false
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D
A is false, R is correct
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Solution

The correct option is B A,R are correct. R is correct explanation of Ad=d^a+μ^b ( linear dependency)d+4μ=1.........1d+3μ=α .........2d+4μ=β............3β=1|c|=√1+α2+β23=1+α2+1α±1If α=1μ=0d=1α=−1μ=2μ=2d=−7Reason is correct and correct explanation of A

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