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

Let `a= 2hat(i) -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)`

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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 vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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

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

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

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

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

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

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

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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 veccc=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. The values of a for which the points A, B, and C with position vectors...

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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 veca is any vector, then (vec a xx vec i)^2+(vec a xx vecj)^2+(ve...

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  20. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

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