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A particle is acted upon constant forces...

A particle is acted upon constant forces `vec(F)_(1)=4hati+hatj-3hatk` and `vec(F)_(2)=3hati+hatj-hatk` which displace it from a point `A=hati+2hatj+3hatk` to the point `B=5hati+4hatj+hatk`. The work done in standard units by the forces is given by ……….......

A

40

B

30

C

25

D

15

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The correct Answer is:
A
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. squareABCD is a parallelogram vec(AB)=bar(q),vec(AD)=bar(p),angleBAC i...

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  2. The position vectors of A, B and C are 2hati-hatj+hatk,hati-3hatj-5hat...

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  3. A particle is acted upon constant forces vec(F)(1)=4hati+hatj-3hatk an...

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  4. Let vec(u),vec(v) and vec(w) be such that |vec(u)|=1,|vec(v)|=2,|vec(w...

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  5. The centroid of DeltaABC is G. The angle between vec(GB) and vec(GC) i...

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  6. The area of the parallelogram whose diagonals are hatj+hatk and hati+h...

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  7. The area of the parallelogram whose adjacent side is hati+hatk and hat...

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  8. If bar(x) and bar(y) are non zero, non collinear vector then the numbe...

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  9. If |bar(x).bar(y)|=cos alpha, then |bar(x)xx bar(y)| = …………….

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  10. If bar(a)=(2,0,1) and bar(b)=(1,1,1) then sin(bar(a)""(,)^(hat)bar(b))...

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  11. The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, ...

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  12. The area of the parallelogram with diagonals hati+hatj and hatj+hatk i...

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  13. The angle between the vectors (2,-1,1) and (1,-1,2) is ……………

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  14. If |bar(x)|=7.|bar(y)|=sqrt(2),bar(x)xx bar(y)=(6,2,3) then |bar(x).ba...

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  15. The unit vector perpendicualr to both the vectors hati+2hatj-2hatk and...

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  16. A(-1, 2, 3), B(1, 1, 1) and C(2, -1, 3) are three points in the plane....

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  17. If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between ba...

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  18. bar( r )xx bar(a)=bar(b)xx bar(a),bar( r )xx bar(b)=bar(a)xx bar(b),ba...

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  19. (bar(a)xx bar(b))^(2) = ……………..

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  20. |bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each ...

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