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Let `vec a= hat j+hat j,vec b=hat j+hat k` and `vec c=alpha vec a+beta vec b`. If the vectors, `hat i-2hat j+hat k,3 hat i+2 hat j-hat k` and `vec c` are coplanar then `alpha/beta` is

A

`1`

B

`2`

C

`3`

D

`-3`

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Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Single Option Correct Type Questions)
  1. Given the vectors vec u=2 hat i-hat j-hat k and vec v=hat i-hat j+2ha...

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  2. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec ...

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  3. Let vec a= hat j+hat j,vec b=hat j+hat k and vec c=alpha vec a+beta v...

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  4. A rigid body rotates about an axis through the origin with an angular ...

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  5. A rigid body rotates with constant angular velocity omaga about the li...

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  6. Consider DeltaABC with A=(veca);B=(vecb) and C=(vecc). If vecb.(veca+v...

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  7. Given unit vectors m, n and p such that angle between m and n. Angle b...

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  8. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  9. If veca and vecb are othogonal unit vectors, then for a vector vecr no...

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  10. If vector vec i+ 2vec j + 2vec k is rotated through an angle of 90^@...

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  11. 10 different vectors are lying on a plane out of which four are parall...

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  12. If hat(a) is a unit vector and projection of x along hat(a) is 2 units...

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  13. If a, b and c are any three non-zero vectors, then the component of at...

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  14. The position vector of a point P is r=xhat(i)+yhat(j)+hat(k)z, where x...

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  15. . Let a, b > 0 and vecalpha=hati/a+4hatj/b+bhatk and beta=bhati+ahatj+...

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  16. If veca, vecb and vecc are any three vectors forming a linearly indepe...

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

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  18. If in a triangleABC, BC=(e)/(|e|)-(f)/(|f|) and AC=(2e)/(|e|): |e|ne|f...

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  19. Let the unit vectors a and b be perpendicular and the unit vector c be...

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  20. In triangle ABC the mid point of the sides AB, BC and AC respectively ...

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