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If the position vectors of the point `A,B,C` be `overset(^)i+overset(^)j,overset(^)i-overset(^)j and aoverset(^)i+boverset(^)j+coverset(^)k` respectively then the point `A,B,C` are collinear if: a)`a=b=c=1` b)`a=1,b and c` are arbitary scalars c)`a=b=c=0` d)`c=0 ,a=1 and b` is arbitary scalar

A

`a=b=c=1`

B

`a=1,b and c` are arbitary scalars

C

`a=b=c=0`

D

`c=0 ,a=1 and b` is arbitary scalar

Text Solution

Verified by Experts

The correct Answer is:
D
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