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If |veca|=1,|vecb|=2 and veca*vecb=1. Th...

If `|veca|=1,|vecb|=2 and veca*vecb=1`. Then the angle between `veca` and `vecb` is :

A

`frac{pi}{2}`

B

`frac{pi}{6}`

C

0

D

`frac{pi}{3}`

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The correct Answer is:
D
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JMD PUBLICATION-VECTOR ALGEBRA-EXAMPLE
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  2. If veca=2hati+hatj+4hatk and vecb=3hati-2hatj+hatk then veca.vecb=

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  3. If |veca|=1,|vecb|=2 and veca*vecb=1. Then the angle between veca and ...

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  4. If |veca*vecb|=sqrt3|vecaxxvecb|,then angle between veca and vecb is :

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  5. Find |veca-vecb|, if two vectors veca and vecb are such that |veca|=2,...

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  6. Fill in the blanks : If veca=xhati+2hatj-3hatk and vecb=3hati+bhatj-...

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  7. Fill in the blanks : Unit vector in direction of 2hati-3hatj+6hatk=(...

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  8. Fill in the blanks : If veca=3hati+hatj-2hatk and vecb=hati+lamdahat...

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  9. If |veca*vecb|=|vecaxxvecb|,then angle between veca and vecb is :

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  10. Fill in the blanks : If |\vecaxxvecb|^2+(veca.vecb)^2=400 and |\vec...

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  11. State True/False The value of veca.veca is |\veca|^2.

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  12. State True/False If veca is unit vector and (2vecx-3veca).(2vecx+3ve...

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  13. State True/False Then magnitude of 2hati-3hatj+6hatk is 7 units.

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  14. Write the value of (hatixxhatj).k+(hatjxxhatk).hati.

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  15. Write the value of p for which veca=3hati+2hatj+9hatk and vecb=hati+ph...

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  16. Prove that : (vecaxxvecb)^2=|\veca|^2.|\vecb|^2-(veca.vecb)^2.

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  17. If veca=4hati+3hatj+hatk and vecb=hati-2hatk, find |\2vecbxxveca|.

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

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  19. Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...

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  20. Find the angle between the vectors veca=hati-hatj+hatk and vecb=hati+h...

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