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Question

Three non-zero, non-parallel coplanar vectors are always

A
Linearly dependent
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B
Linearly independent
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C
Either A or B
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D
Cannot be determined
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Solution

The correct option is C Linearly dependent
Let a,b,c be three non-zero, non-parallel coplanar vectors.
a=λb+μc ............. (Property of coplanarity)
vector a depends on vectors b and c
Thus, they are Linearly dependent.
Hence, the three vectors are coplanar if they are linearly dependent.
Hence, option A is correct.

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