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What is the value of linear velocity, if...

What is the value of linear velocity, if `vec(omega) = 3hat(i)-4 hat(j) + hat(k)` and `vec(r) = 5hat(i)-6hat(j)+6hat(k)`

A

`6hat(i)-2hat(j)+3hat(k)`

B

`6hat(i)-2hat(j)+8hat(k)`

C

`4hat(i)-13hat(j)+6hat(k)`

D

`-18hat(i)-13hat(j)+2hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Velocity, `V=omegaxxr=|{:(hat(i),hat(j),hat(k)),(3,-4,6),(5,-6,6):}|=-18hat(i)-13hat(j)+2hat(k)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SCALARS AND VECTORS -Exercise 1
  1. A=2hat(i)+hat(j),B+3hat(j)-hat(k)and C=6hat(i)-2hat(k) Value of A-2B+3...

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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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  7. Three forces acting on a boby are shown in the figure. To have the re...

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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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  20. The area of the parallenlogram determined by two adjacentt sides as A=...

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