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If unit vectors veca and vecb are inclin...

If unit vectors `veca and vecb` are inclined at an angle `2 theta` such that `|veca - vecb| lt 1 and 0 le theta le pi`, then `theta` lies in the interval

A

`[0,pi//6]`

B

`(5pi//6,pi)`

C

`(pi//6,pi//2)`

D

`(pi//2,5pi//6)`

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The correct Answer is:
A
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The values of x for which the angle between the vectors veca =xhati -...

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  2. The vectors a = 2lambda^(2) i+4lambdaj+k and b=7i-2j+lambdak make an o...

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  3. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

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  4. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  5. For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |vec...

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  6. If |a| = |b|, then (a +b). (a-b) is

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  7. A vector a has components 2p and 1 with respect to a rectangular cart...

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  8. Let a =i+j+pk and b=i+j+k, |a+b| =|a| +|b| , holds for

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  9. If x and y are two unit vectors and phi is the angle between them, the...

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  10. Let hat(a), hat(b) be two unit vectors and theta be the angle between...

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  11. (a +b). (a-b) =0 implies that

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  12. The vectors vec A and vec B are such that |vec A + vec B | = |vec A - ...

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  13. (a + b) xx (a-b) is equal to

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  14. If u = a-b, v =a + b and |a| = |b| = 2, then |u xx v| is

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  15. Let vec aa n d vec b be two non-collinear unit vector. If vec u= vec...

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  16. If \ vec a\ a n d\ vec b are two unit vectors inclined at an angle t...

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

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  18. The vector a + 3b is perpendicular to 7a-5b and a-5b is perpendicular ...

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  19. Four points with position vectors 7i-4j+7k, i -6j+10k,-i-3j+4k and 5i-...

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  20. a, b, c, d are the vertices of a square, then

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