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Let ` vec A` be a vector parallel to the line of intersection of planes `P_1a n dP_2dot` Plane `P_1` is parallel to vectors `2 hat j+3 hat ka n d4 hat j-3ka n dP_2` is parallel to ` hat j- hat ka n d3 hat i+3 hat jdot` Then the angle betweenvector ` vec A` and a given vector `2 hat i+ hat j-2 hat k` is `pi//2` b. `pi//4` c. `pi//6` d. `3pi//4`

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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Let vec A be a vector parallel to the line of intersection of planes P_1a n dP_2dot Plane P_1 is parallel to vectors 2 hat j+3 hat ka n d4 hat j-3ka n dP_2 is parallel to hat j- hat ka n d3 hat i+3 hat jdot Then the angle betweenvector vec A and a given vector 2 hat i+ hat j-2 hat k is a. pi//2 b. pi//4 c. pi//6 d. 3pi//4

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ARIHANT MATHS ENGLISH-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The number of distinct real values of lambda , for which the vectors...

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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 vec A be a vector parallel to the line of intersection of plan...

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

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

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  7. 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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  8. 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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  9. If veca and vecb are two unit vectors such that veca + 2vecb and 5 vec...

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

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

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

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

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  14. veca =1/sqrt(10)(3hati + hatk) and vecb =1/7(2hati +3hatj-6hatk), then...

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  15. The vectors vec a and vec b are not perpendicular and vec c and v...

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

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

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

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

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  20. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

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