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If kbara = 3barb+2barc, bara=-2barb+5bar...

If `kbara = 3barb+2barc, bara=-2barb+5barc " and if " barb and barc` have opposite direction, then

A

`k in (-3/2,2/5)`

B

`kin(-3/2,1/5)`

C

`k in (-1/2,2/3)`

D

`k in (-2/3,1/4)`

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The correct Answer is:
A
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. If barp=(3,-1,5), barq = (1,2,-3). A vector barr is such that it is ...

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  2. If bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(ba...

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  3. If kbara = 3barb+2barc, bara=-2barb+5barc " and if " barb and barc hav...

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  4. bara,barb,barc and bard are the position vectors of four coplanar poin...

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  5. In a Delta ABC, bar(OA)= bara, bar(OB)=barb, bar(OC) = barc. if (bar...

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  6. ABC is an equitateral triangle of side 'a'. Then bar(AB).bar(BC)+bar...

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  7. In Delta ABC , angleABC=90^(@). If P and Q are points of trisection o...

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  8. A parallogram constructed on the vector bar(a) =3barp-barq and bar(b)...

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  9. The length of the projection of the vector (1,-2,-1) on the vector joi...

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  10. The magnitude of the projection of the vector bara=4bari-3barj+2bark o...

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  11. If barb=4bari+3barj and barc be two perpendicular vectors in xy-plane....

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  12. Let bara = 2bari -barj+bark , barb=bari+2barj-bark , barc=bari+barj-2b...

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  13. The triangle ABC is defined by the vertices A =(0,7,10), B = (-1,6,6) ...

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  14. In the Parallelogram ABCD, bar(AC)^(2)-bar(BD)^(2) =

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  15. The bot r bisecting plane of the line segment joining the points (3,1,...

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  16. The vector equation of the plane which contains the point (1,1,8) and ...

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  17. The perpendicular distance from origin to the plane passing through th...

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  18. Find the cartesian equation of the plane through the point A (2,-1,-4)...

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  19. The cartesian equation of the plane passing through (1,1,1) and contai...

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  20. The vector equation of the plane through the point (1,1,-1) and passin...

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