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

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

A

`a=2, b =3, c = -4`

B

`a=4,b=4,c=5`

C

`a=4,b=4,c=-5`

D

none of these

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The correct Answer is:
B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. If a.b = a.c and veca xx vecb =veca xx vecc, then

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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