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For the vectors A(-1,-2,3) and B(1,2,-1)...

For the vectors `A(-1,-2,3)` and `B(1,2,-1)` the direction cosines of `vec(AB)` are ……………

A

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

B

2, 4, -4

C

`(2)/(sqrt(6)),(4)/(sqrt(6)),(-4)/(sqrt(6))`

D

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

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A
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. The number of unit vectors which are collinear with non zero vector ba...

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  2. The direction cosines of bar( r )=(6,-2,3) are …………

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  3. For the vectors A(-1,-2,3) and B(1,2,-1) the direction cosines of vec(...

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  4. If alpha, beta and gamma are direction cosines of the vector vec(x) th...

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  5. If the vector vec(b) is collinear to the vector bar(a) and bar(a)=(2sq...

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  6. ABCDEF is a regular hexagone. AB+AC+AD+AE+AF=lambda AD then lambda = …...

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  7. If the vectors 10hati+3hatj,12hati-15hatj and a hati+11 hatj are colli...

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  8. The direction of vector vec(b) is North-East and that vec( c ) is Nort...

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  9. If bar(x)=(-1,4,-2),bar(y)=(-4,16,-8) then |bar(x)+bar(y)|…………|bar(x)|...

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  10. The unit vector in the direction of the sum of the vectors (1, 1, 1),(...

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  11. The vector 2hati+2hatj-hatk makes ………………measure of angles with the axe...

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  12. The unit vector in the direction 6hati-2hatj+3hatk is ………….

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  13. The unit vector parallel to the vecotr bar(a)-bar(b) is ……………. where...

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  14. If bar(a)=(1,1,1),bar(b)=(4,-2,3) and bar( c )=(1,-2,1) then the vect...

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  15. The unit vector in the opposite direction of bar(x)+bar(y)-2bar(z) is ...

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  16. The vector with magnitude 17sqrt(2) and in the opposite direction of (...

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  17. Out of the following …………. Is the unit vector in the direction of (3ha...

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  18. The position vector of the point P is (4, 5, -3). The distance of the ...

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  19. The position vector of a point A is (4, 2, -3). If the distance of the...

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  20. vec(a)=hati+hatj+hatk,vec(b)=hati-hatj+hatk and vec( c )=hati+2hatj-...

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