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Let A be vector parallel to line of inte...

Let A be vector parallel to line of intersection of planes `P_1 and P_2`. Plane `P_1` is parallel to the vectors `2hat(j)+3hat(k) and 4hat(j)-3hat(k)` and that `P_2` is parallel to `hat(j)-hat(k) and 3hat(i)+3hat(j)`, then the angle between vector A and a given vector `2hat(i)+hat(j)-2hat(k)` is

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`(pi)/(6)`

D

`(3pi)/(4)`

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The correct Answer is:
B, D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The number of distinct real values of lambda, for which the vectors -l...

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

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

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

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

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

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

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

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

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

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

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

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  15. 1/sqrt(10)(3hatj + hatk) and vecb =(2hati +3hatj-6hatk), then the valu...

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  16. The vectors a and b are not perpendicular and c and d are two vectors ...

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  17. If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...

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  18. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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  19. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and veccc=la...

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  20. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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