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If a and b are position vectors of A and B respectively the position vector of a point C on AB produced such that `vec(AC)=3 vec(AB)` is

A

`3a-b`

B

`3b-a`

C

`3a-2b`

D

`3b-2a`

Text Solution

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The correct Answer is:
D
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. The vector 2i+j-k is perpendicular to i-4j+lambdak if lambda is equal ...

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  2. The vector 2i + 3j - 4k and ai + bj + ck are perpendicular if

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  3. If a and b are position vectors of A and B respectively the position v...

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  4. a and b are the position vectors of the points A and B with respect to...

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  5. If A = 2i + 2j-k, B = 6i-3j+2k, then A xx B will be given by

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  6. The number of vectors of unit length perpendicular to vectors vec ...

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  7. A vector a has components 2p and 1 with respect to a rectangular cart...

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  8. If |vecalpha + vecbeta| = |vecalpha - vecbeta|, then

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  9. If veca and vecb are two vectors such that veca.vecb = 0 and veca xx v...

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  10. Let veca, vecb, vecc be three non-coplanar vectors and vecp,vecq,vecr ...

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  11. The components of a vector veca along and perpendicular to a non-zero ...

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  12. For any three vectors a, b, c (a-b).{(b-c) xx (c-a)} = 2a.(bxxc). ...

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  13. If a = 4i + 6j and b = 3j+4k, then the vector form of component of a a...

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  14. A unit vector perpendicular to the vector 4i-j+3k and -2i+j-2k is

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  15. The unit vector perpendicular to the two vectors i-j and i+2j, and per...

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  16. If u = i xx (a xx i), + j xx (a xx j) + k xx(a xx k), then

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  17. The volume of a parallelopiped whose sides are given by vecOA =2i-3j,v...

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  18. If alpha = 2i + 3j - k, beta = -i + 2j-4k, gamma = i+j+k then the valu...

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  19. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  20. If the vectors vec c , vec a=x hat i+y hat j+z hat ka n d vec b= hat ...

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