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If veca,vecb,vecc and vecd are unit vect...

If `veca,vecb,vecc and vecd` are unit vectors such that `(vecaxxvecb).(veccxxvecd)=1 and veca.vecc=1/2` then (A) `veca,vecb,vecc` are non coplanar (B) `vecb,vecc, vecd` are non coplanar (C) `vecb, vecd` are non paralel (D) `veca, vecd` are paralel and `vecb, vecc` are parallel

A

`hata, hatb, hatc` are non-coplanar

B

`hatb, hatc, hatd` are non-coplanar

C

`hatb, hatd` are non-parallel

D

`hata, hatd` are parallel and `hatb, hatc` are parallel

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The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Let vectors bara, barb, barc and bard be such that (baraxxbarb)xx(ba...

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  2. A plane p(1) is parallel to two vectors 2j + 3k and 4j-3k. Another pla...

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  3. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

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  4. Let the pair of vector veca,vecb and vecc,veccd each determine a plane...

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  5. In cartesian co-ordinates the points A is (x(1), y(1)) where x(1) = 1 ...

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  6. Vectors a and b makes an angle theta = (2pi)/(3) If |a| = 1, |b| = ...

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  7. Let veca, vecb, vec c form sides BC, CA and AB respectively of a tria...

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  8. The vector r is equal to

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  9. (r.i) (rxxi) + (r.j)(rxxx\j) + (r.k)(rxxk) is equal to

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  10. If a + 2b + 3c= 0, then axxb + bxxc+c xxa is equal to

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  11. If veca=4i+6jand vecb=3j+6k vector form of the component of a along b ...

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  12. 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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  13. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  14. a =hati +hatj-hatk, b = hati -2hatj +hatk, c = hati -hatj-hatk, then a...

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  15. Projection of the vector 2i+3j-2k on the vector i+2j+3k is

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  16. If a = 2i+j+2k, b=5i-3j+k, then orthogonal projection vector of a and ...

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  17. Given two vectors a = 2i -3j+6k, b=2i+2j-k and p = ("the projection of...

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  18. Show that the vector of magnitude sqrt(51) which makes equal anges wit...

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  19. In a parallelopiped the ratio of the sum of the squares on the four d...

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  20. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

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