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

If `veca,vecb,vecc and vecd` are unit vectors such that `(vecaxxvecb)*(veccxxvecd)=1 and veca.vecc=1/2,` then

A

a, b, c are non-coplanar

B

a, b, d are non-coplanar

C

b, d are non-parallel

D

a, d are parallel and b, c are parallel

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The correct Answer is:
C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let P, Q, R and S be the points on the plane with position vectors -2h...

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  2. If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...

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

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  4. The edges of a parallelopiped are of unit length and are parallel to ...

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  5. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  6. Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...

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  7. The number of distinct real values of lambda, for which the vectors -l...

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  8. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

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  9. Let A be vector parallel to line of intersection of planes P1 and P2. ...

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  10. Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...

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  11. If vec a , vec b and vec c are three non-zero, non coplanar vecto...

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  12. The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk an...

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  13. The value of a so that the volume of parallelepiped formed by hat ...

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  14. If vec a=( hat i+ hat j+ hat k), vec adot vec b=1a n d vec axx vec b=...

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  15. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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  16. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

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  17. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

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  18. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is euqual to

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  19. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

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  20. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

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