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Let veca and vecb be two unit vectors an...

Let `veca` and `vecb` be two unit vectors and `theta` is the angle between them. Then `veca+vecb` is a unit vector if :

A

`theta=(pi)/(4)`

B

`theta=(pi)/(3)`

C

`theta=(pi)/(2)`

D

`theta=(2pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)
  1. Let veca and vecb be two unit vectors and theta is the angle between t...

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  2. If veca=lambdahati+3hatj+2hatk and vecb=hati-3hatj+3hatk are perpendic...

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  3. Projection of a vector veca on vector vecb is given by

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  4. If veca is any vector, then vecaxxveca is :

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  5. If veca*veca=0, then veca is :

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  6. If veca is any vector, then veca*veca is :

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  7. The area of the triangle having vertices : A (1, 1, 2), B (2, 3, 5) an...

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  8. Area of a rectangle having vertices A, B, C and D with position vector...

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  9. The projection of veca=2hati-hatj+hatk on vecb=hati-2hatj+hatk is equa...

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  10. Find the projection of hati-hatj on the line represented by the vector...

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  11. For given vectors,veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk , fin...

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  12. Using vectors, prove that cos(alpha-beta)=cosalpha cosbeta+sinalphas...

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  13. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

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  14. Prove that, in any triangle ABC, cos B=(c^2+a^2-b^2)/(2ca).

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  15. Find vecaxxvecb, if veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk

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  16. Find |vecaxxvecb|, if veca=3hati+4hatjand vecb=hati-hatj+hatk

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  17. Find the unit vector perpendicular to the vector veca=-hati-2hatj+3h...

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  18. Find the unit vector perpendicular to the vector veca=4hati-3hatj-ha...

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  19. Using vector, prove that sin(A+B)=sinAcosB+cosAsinB

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  20. Find the area of a parallelogram whose adjacent sides are : 3hati-4h...

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  21. Find the area of a parallelogram whose adjacent sides are : 3hati+ha...

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