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The vector vec c , directed along the ...

The vector ` vec c `, directed along the internal bisector of the angle between the vectors `vec a = 7 hati - 4 hatj - 4hatk and vecb = -2hati - hatj + 2 hatk " with " |vec c| = 5 sqrt(6),` is

A

`pm(5)/(3) (2hati +7hatj+hatk)`

B

`pm(3)/(5) (hati +7hatj+2hatk)`

C

`pm(5)/(3) (hati -2hatj+7hatk)`

D

`pm(5)/(3) (hati -7hatj+2hatk)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-ALGEBRA OF VECTORS-Exercise
  1. If vec a = hati + 2 hatj + 2 hat k and vec b = 3 hati + 6 hatj + 2 h...

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  2. veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b ...

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  3. The vector vec c , directed along the internal bisector of the angle...

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  4. A, B have vectors vec a , vec b relative to the origin O and X, Y d...

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  5. If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...

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  6. The vector vec c , directed along the internal bisector of the angle...

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  7. Let vec a , vec b ,vec c are three non- coplanar vectors such that ...

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  8. If vec a, vec b , vec c are three non- coplanar vectors such that v...

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  9. veca, vecb ,vecc are three non zero vectors no two of which are collon...

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  10. Let alpha,beta and gamma be distinct real numbers. The points with pos...

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  11. The points with position vectors 60hati+3hatj,40hati-8hatj, ahati-52ha...

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  12. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...

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  13. If C is the middle point of AB and P is any point outside AB, then

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  14. The median AD of the DeltaABC is bisected at E.BE meets AC in F. then,...

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  15. In a trapezium, the vector BC=lamdaAD. We will then find that p=AC+BD ...

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  16. If vec xa n d vec y are two non-collinear vectors and A B C isa trian...

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  17. If D, E, F are respectively the mid-points of AB, AC and BC respectiv...

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  18. Forces 3 O vec A , 5 O vec B act along OA and OB. If their resultant ...

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  19. If aBCDEF is a regular hexagon with A vec(B) = vec(a) and B vec(C ) =...

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  20. If A,B and C are the vertices of a triangle with position vectors vec(...

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