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If vecu and vecv are unit vectors and...

If ` vecu and vecv ` are unit vectors and `theta` is the acute angle between them, then ` 2 vecu xx 3vecv` is a unit vector for

A

exactly two values of `theta`

B

more than two but not all values of `theta`

C

no value of `theta`

D

exactly one value of `theta`

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The correct Answer is:
D
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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

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

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

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

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

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

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

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

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

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

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  12. If vec(a)=hat(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yh...

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  13. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  14. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

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  15. A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat...

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  16. If vec u , vec v and vec w are three non-coplanar vectors, then prov...

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  17. a, b, c are three vectors, such that a+b+c=0 ,|a|=1, |b|=2, |c|=3, the...

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  18. A tetrahedron has vertices of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...

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  19. Let vec u=hat i+hat j,vec v=hat i-hat j and vec w=hat i+2 hat j+3hat k...

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  20. Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j), the unit vect...

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