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If |veca+ vecb| lt | veca- vecb|, then t...

If `|veca+ vecb| lt | veca- vecb|`, then the angle between `veca and vecb` can lie in the interval

A

`(-pi//2, pi//2)`

B

`(0, pi)`

C

`(pi//2, 3pi//2)`

D

`(0, 2pi)`

Text Solution

Verified by Experts

The correct Answer is:
C
`|veca+vecb|lt |veca-vecb|`
`rArr " "(pi)/(2) lt theta lt (3pi)/(2)`
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CENGAGE-INTRODUCTION TO VECTORS -Exercise (Single)
  1. Let veca,vecb,vecc be three unit vectors such that 3veca+4vecb+5vecc=v...

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  2. Let ABC be a triangle the position vectors of whose vertices are respe...

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  3. If |veca+ vecb| lt | veca- vecb|, then the angle between veca and vecb...

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  4. A point O is the centre of a circle circunscribed about a triangle ABC...

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  5. If G is the centroid of a triangle A B C , prove that vec G A+ vec G ...

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  6. If vec a\ is a non zero vecrtor iof modulus vec a\ a n d\ m is a no...

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  7. ABCD a parallelogram, and A1 and B1 are the midpoints of sides BC and ...

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  8. The position vectors of the points P and Q with respect to the origin ...

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  9. A B C D is a quadrilateral. E is the point of intersection of th...

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  10. The vector vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are sides...

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  11. A, B, C and D have position vectors veca, vecb, vecc and vecd, repecti...

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  12. If veca and vecb are two unit vectors and theta is the angle between t...

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  13. let us define , the length of a vector as |a| + |b| +|c| . this defini...

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  14. Given three vectors veca=hati-3hatj,vecb=2hati-thatj and vecc=-2hati+2...

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  15. If vecalpha+ vecbeta+ vecgamma=a vecdeltaa n d vecbeta+ vecgamma+ vec...

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  16. In triangle A B C ,/A=30^0,H is the orthocenter and D is the midpoint ...

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  17. Let vecr1, vecr2,……vecrn be the position of points P1,P2,………,Pn respec...

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  18. Given three non-zero, non-coplanar vectors veca, vecb and vecc. vecr1=...

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  19. If the vectors vec a and vec bare linearly independent and satisfying ...

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  20. In a trapezium ABCD the vector B vec C = lambda vec(AD). If vec p = ...

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