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If bara and barb two non collinear vecto...

If `bara and barb` two non collinear vectors then the points `l_(1)bara+m_(1)barb, l_(2)bara+m_(2)barb, l_(3)bara+m_(3)barb` are collinear if

A

`sum l_(1)(m_(2)+m_(3)) =0`

B

`sum l_(1)(m_(2)-m_(3))=0`

C

`suml_(3)(m_(2)-m_(3))=0`

D

`sum l_(2)(m_(2)-m_(3))=0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-APPENDICES (REVISION EXERCISE)-PROPERTIES OF VECTORS
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  8. In DeltaOAB, E is the mid point of AB and F is a point on OA such that...

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  9. ABC is a triangle and 'O', any point in the palne of the triangle. The...

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  10. In a parallelogram ABCD, P is the mid point of the side AD. The line ...

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  11. OABC is a tetrahedron D and E are the mid points of the edges bar(OA)...

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  12. In the Cartesian plane, O is the origin of the coordinate axes. A pers...

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  14. The projections of a vector on the three coordinate axes are 6, -3, 2 ...

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  16. If bara and barb are non-collinear vectors, then the value of alpha fo...

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