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Let a, b and c be three unit vectors suc...

Let a, b and c be three unit vectors such that `atimes(btimesc)=(sqrt(3))/(2)(b+c)`. If b is not parallel to c , then the angle between a and b is

A

`(3pi)/(4)`

B

`(pi)/(2)`

C

`(2pi)/(3)`

D

`(5pi)/(6)`

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The correct Answer is:
D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

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  3. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

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  4. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

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  6. The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...

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  7. Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...

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  8. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

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  9. Let P, Q, R and S be the points on the plane with position vectors -2h...

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

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

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

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

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