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Question

The vectors x^i+(x+1)^j+(x+2)^k, (x+3)^i+(x+4)^j+(x+5)^k and (x6)^i+(x+7)^j+(x+8)^k are coplanar if x is equal to

A
1
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B
3
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C
4
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D
0
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Solution

The correct options are
A 1
B 3
C 4
D 0
xi^+(x+1)j^+(x+2)k^,(x+3)i^+(x+4)j^+(x+5)k^xi^+(x+1)j^+(x+2)k^,(x+3)i^+(x+4)j^+(x+5)k^ for all x in R since two columns of the matrix are multiples of each other.

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