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The position vectors of two points A and B are respectively `6vec(a)+2vec(b)` and `vec(a)-3bar(b)`. If the point C divides AB internally in the ratio 3 : 2 then the position vector of C is ……………

A

`3vec(a)-vec(b)`

B

`3vec(a)+vec(b)`

C

`vec(a)+vec(b)`

D

`vec(a)-vec(b)`

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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. vec(a)=hati+hatj+hatk,vec(b)=hati-hatj+hatk and vec( c )=hati+2hatj-...

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  2. A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5) are vertices of a triangle ABC. ...

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  3. The position vectors of two points A and B are respectively 6vec(a)+2v...

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  4. The position vectors of the vertices of triangle are 3hati+4hatj+5hatk...

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  5. The angle between the unit vectors vec(a) and vec(b) is 2theta. Where ...

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  6. squareABCD is a parallelogram. (A(1)) and B(1) are midpoints of the si...

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  7. In DeltaABC,vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk. Length ...

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  8. If bar(x)=(a,4,2a) and bar(y)=(2a,-1,a) are perpendicualr to each othe...

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  9. If bar(x)=(3,1,0),bar(y)=(2,2,3),bar(z)=(-1,2,1). If bar(x)|(bar(y)+...

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  10. If bar(x)=(1,2,4),bar(y)=(-1,-2,k),k ne -4 then |bar(x).bar(y)|………|bar...

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  11. If bar(a)=(-3,1,0) and bar(b)=(1,-1,-1) then "Comp"(bar(a))bar(b) …………...

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  12. The projection of (1, 2, -1) on hati is …………….

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  13. A(3,-1),B(2,3) and C(5,1) are given then m angleA = ………

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  14. bar(x) and bar(y) are unit vectors and (bar(x)""(,)^(hat)bar(y))=theta...

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  15. If |bar(x)+bar(y)|=|bar(x)-bar(y)|, then

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  16. bar(x),bar(y),bar(z) are zero vectors. If …………… then bar(x).bar(y)=bar...

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  17. bar(x),bar(y),bar(z) are non zero vectors. If (bar(x)""(,)^(hat)bar(y)...

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  18. If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z...

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  19. If bar(a)=(3,1,-2) and bar(b)=(1,3,-2) then (bar(a)" "^(hat)bar(b)) = ...

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  20. If bar(x)=(1,1,-1),bar(y)=(-1,2,2) and bar(z)=(-1,2,-1) then the unit ...

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