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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)
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  2. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

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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. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

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

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

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  8. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

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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 vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

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  11. Find the 7th term of GP if the first term is 7 and common ratio is 2.

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

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

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

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  15. Let v=2hat(i)+hat(j)-hat(k) and w=hat(i)+3hat(k). If hat(u) is unit v...

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

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

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

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  19. If a and b1 are two unit vectors such that a+2b and 5a-4b are perpendi...

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  20. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

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