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If vecu, vecv, vecw are non -coplanar v...

If `vecu, vecv, vecw` are non -coplanar vectors and `p,q,` are real numbers then the equality
`[3vecu p vecv p vecw]-[p vecv vecw qvecu]-[2vecw-qvecv qvecu]=0` holds for

A

all values of (p, q)

B

exactly one value of (p, q)

C

exactly two values of (p, q)

D

more than two but not all values of (p, q)

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The correct Answer is:
B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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  2. If |a|=2a n d|b|=3 and adotb=0,t h e n(axx(axx(axx(axxb)))) is equal t...

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  3. [a " " b " "axxb] +[a.b]^(2) =

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  4. If a = 1,2,4, b =2,-3,-1, c=1,4-4, then the vector a xx(b xxc) is orth...

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  5. The magnitudes of vectors vec a , vec b and vec c are respectively 1...

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  6. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

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  7. Let veca = 2i + j + k, and b = i+ j if c is a vector such that veca ....

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  8. Let a =2i+j-2k and b=i+j. If c is a vector such that a.c = |c|,|c-a| =...

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  9. Let the unit vectors a and b be perpendicular and the unit vector c be...

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  10. The equation of the plane containing the line vecr= veca + k vecb and ...

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  11. ( axxb) xx (a xxc ).d equals

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  12. If a,b,c and d be four vectors, then (a xxb). (c xx d) + ( b xx c) . ...

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  13. If the non-zero vectors a and b are perpendicular to each other, then ...

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  14. Let veda,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are ...

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  15. Let a,b,c be any threee non zero non-coplanar vectors, then any vecto...

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  16. If a,b,c and p,q,r are reciprocal systemm of vectors, then axxp+bxxq+c...

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  17. If a.(b xx c) = 3 then

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  18. Let a,b,c be three non-coplanar vectors and r be any vector in space s...

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  19. Unit vector vecc is inclined at an angle theta to unit vectors ve...

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  20. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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