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If the given vectors (-bc,b^2+bc,c^2+bc)...

If the given vectors `(-bc,b^2+bc,c^2+bc)(a^2+ac,-ac,c^2+ac) and (a^2+ab,b^2+ab,-ab)` are coplanar, where none of `a,b and c` is zero then

A

`a^2+b^2+c^2=1`

B

`bc+ca+ab=0`

C

`a+b+c=0`

D

`a^2+b^2+c^2=bc+ca+ab`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-VECTORS-Critical Thinking
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  7. If bara,barb,barc are non-zero, non collinear vectors, then the vector...

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  9. For any three vectors bara,barb and barc,(bara-barb)[(barb+barc)xx(bar...

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  10. If bara,barb and barc are three non-coplanar vectors, then : (bara + b...

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  11. If bar r=l(bar b xx bar c)+m(bar c xx bar a)+n(bar a xx bar b) and [...

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  12. The volume of parallelopiped with vector bara+2barb-barc,bara-barb and...

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  13. If the volume of parallelopiped with coterminus edges -poverset(^)i+5k...

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  15. If D is the mid -point of side AB of DeltaABC, then bar(AB) + bar(BC)...

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  18. If S is circumcentre, O is orthocentre of DeltaABC, then vec(SA)+vec(...

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  20. In a trapezium, if the vectors bar(BC)=lambda(AD),barP=bar(AC)+bar(BD)...

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