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If |AxxB| = sqrt3 A.B, then the value of...

If `|AxxB| = sqrt3 A.B,` then the value of |A+B| is

A

`(A^(2)+B^(2)+(AB)/(sqrt(3)))^(1//2)`

B

`A+B`

C

`(A^(2)+B^(2)+sqrt(3)AB)^(1//2)`

D

`(A^(2)+B^(2)+AB)^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `ABsintheta=sqrt(3)ABcosthetaortantheta=sqrt(3)`
`:.theta=60^(@)`
Now `|A+B|=sqrt(A^(2)+B^(2)+2ABcos60^(@))`
`=sqrt(A^(2)+B^(2)AB)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SCALARS AND VECTORS -Exercise 1
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  2. if P+Q+P-Q ,then

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  3. What vector must be added to the sum of two vectors 2hat(i)-hat(j)+3ha...

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  4. If |A|=2 and |B|=4 and angle between then is 60^(@) then |A-B|

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  5. If A and B are two vectors such that |A+B|=2|A-B|. The angle between v...

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  6. At what angle should the two forces 2P and sqrt(2P) and Psqrt(2)P act...

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  8. Three vector A,B and C satisfy the relation A.B=0 and A. C =0. Then t...

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  9. what is the dot product of two vectors of magnitudes 3 and 5,if angle ...

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  10. When A.B =-|A||B|, then

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  11. The condition (a.b)^(2)=a^(2)b^(2) is satisfied when

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  12. The modulus of the vector product of two vectors is (1)/(sqrt(30)) tim...

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  13. In a clockwise system,

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  14. If |AxxB| = sqrt3 A.B, then the value of |A+B| is

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  15. If |A|=2,|B|=5 and |AxxB|=8. Angle between A and B is acute, then (A....

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  16. Find the torque of a force F=-3hat(i)+2hat(j)+hat(k) acting at the po...

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  17. What is the unit vector perpendicular to the following Vector 2hat(i)+...

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  18. If AxxB=BxxA then the angle between A and B is

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  19. What is the value of linear velocity, if vec(omega) = 3hat(i)-4 hat(j)...

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