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IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the value of [a b c] is

A

2

B

3

C

0

D

none of these

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The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. The value of lambda for which the points L(1,0,3), M(-1,3,4),N(1,2,1) ...

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  2. If veca lies in the plane of vectors vecb and vecc, then which of the ...

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  3. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

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  4. If a, b,c are non-coplanar vectors such that r.a = r.b = r.c =0, then

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  5. Blank,

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  6. If |[a, b, c], [a^(2), b^(2), c^(2)], [a^(3)+1, b^(3)+1, c^(2)+1]|=0 a...

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  7. If the vectors ai + j + k , i + bj + k and i + j + ck, where a, b, c n...

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  8. Another form (1+a)/(1-a) + (1+b)/(1-b) + (1 +c)/(1-c) =

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  9. If the vectors ai +j + k , i-bj+k, i+j-ck are co-planar, then abc + 2 ...

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  10. If the vector ai+j+k,i+bj+k and i+j+ck are coplanar, then :

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  11. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

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

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  13. If veca, vecb, vecc are three non-coplanar mutually perpendicular unit...

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  14. The vector vec(a) lies in the plane of vectors vec(b) and vec(c). Whi...

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  15. If a = i-j+k,b=i-2j-k and c=3i+pj+5k are coplanar, then p =

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  16. If l( b xx c) + m(c xxa) + n(a xx b) = 0 and at least one of l, m, n i...

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  17. The vectors (x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8) are coplanar f...

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  18. If the vectors, a,b,c are coplanar, then

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  19. Let veca = 2i + j+k, vecb = i+ 2j -k and a unit vector vecc be coplana...

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  20. IF (sec^2A)hati+hatj+hatk, hati+(sec^2 B)hatj+hatk and hati+hatj+(sec^...

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