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Let a= 2hat(i) +hat(j) -2hat(k) , b=hat(...

Let `a= 2hat(i) +hat(j) -2hat(k) , b=hat(i) +hat(j) ` and c be a vectors such that `|c-a| =3, |(axxb)xx c|=3` and the angle between c and `axx b" is "30^(@)` . Then a. c is equal to

A

`(25)/(8)`

B

`2`

C

`5`

D

`(1)/(8)`

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let v=2hat(i)+hat(j)-hat(k) and w=hat(i)+3hat(k). If hat(u) is unit v...

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

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

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

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

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

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

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

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

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

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  11. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and vec c=la...

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

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

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  14. If vecu and vecv are unit vectors and theta is the acute angle bet...

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  15. Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar ...

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  16. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

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  17. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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  18. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

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  19. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

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  20. If a,b and c are non-coplanar vectors and lamda is a real number, then...

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