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If veca , vecb , vec c are any three co...

If `veca , vecb , vec c ` are any three coplanar unit vectors , then :

A

`a.(b xx c) = 1`

B

`a.(b xx c) =3`

C

`(a xx b) .c =0`

D

`(c xx a).b =1`

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The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. If a + b + c = 0, |a| = 3, |b| = 5, |c| = 7, then the angle between a ...

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  2. If the vectors a,b,c satisfy the condition a+b+c =0, the value of a.b ...

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  3. If veca , vecb , vec c are any three coplanar unit vectors , then :

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  4. If a.b = a.c and veca xx vecb =veca xx vecc, then

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  5. The vector 2i+j-k is perpendicular to i-4j+lambdak if lambda is equal ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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