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Unit vectors hata and hat b are inclined...

Unit vectors `hata and hat b` are inclined at an angle `2theta and |hat a-hat b| lt 1`·lf `0 leq theta leq pi`€ , then `theta`¸ may belong to

A

`(0,pi//6)`

B

`(2pi//3,pi)`

C

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

D

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

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The correct Answer is:
A
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FIITJEE-VECTOR-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. Unit vector barc is inclined at an angle theta to unit vector bara tim...

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  2. Let vec(alpha),vec(beta) and vec(gamma be the unit vectors such that v...

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  3. Unit vectors hata and hat b are inclined at an angle 2theta and |hat a...

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  4. IF the non-zero vectors bara and barb are perpendiculars to each other...

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  5. If the lines barr={a+1(1-a)}hati+(a-ta)hatj+{c+t(1-c)}hatk and barr1={...

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  6. IF barA=hati-3hatj+4hatk,barB=6hati+4hatj-8hatk,barC=5hati+2hatj+5hatk...

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  7. If hatd is a unit vectors such that hatd=lamdabarb times barc+mubarc t...

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  8. (bara times hati)^2+(bara+hatj)^2+(bara times hatk)^2 is equal to

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  9. If bara and barb are two unit vectors at 120^@ and c is any vector inc...

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  10. In a triangle ABC, angleA=30^@ H is the orthocentre and D is the midpo...

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  11. IF bara,barb,barc are non-coplanar vectors and lamda is a real number ...

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  12. Let X be the midpoint of the side AB of triangle ABC. And Y be the mid...

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  13. Let baru,barv,barw be such that abs(baru)=1,abs(barv)=2,abs(barw)=3. I...

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  14. IF a,b,c are three real numbers not all equal and the vectors barx=aha...

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  15. Consider triangleABC and triangleA1B1C1 in such a way that bar(AB)=ba...

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  16. Let bara=hati+hatj+hatk,barb=x1hati+x2hatj+x3hatk where x1,x2,x3 in (-...

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  17. Let bara and barb be two vectors of equal magnitude 5units. Let barp,q...

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  18. Consider a parallelogram constructed as 5bara+2barb and bara-3barb whe...

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  19. The vectors vecx and vecy satisfy the equation pvecx+qvecy=veca (where...

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  20. Let bara and barb be two non coplanar unit vectors IF baru=bara-(bara....

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