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If hati,hatj and hatk are unit vectors a...

If `hati,hatj` and `hatk` are unit vectors along X,Y `&` Z axis respectively, then tick the wrong statement:

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The correct Answer is:
327.9 N

Resultant force in vertical direction

`=50sqrt(3) cos 30^(@)+100+100sqrt(3) cos 30^(@)`
`=50xx3/2+100+100xx3/2=325 N`
Resultant force in horizontal direction
`=100 sqrt(3) sin 30^(@)-50 sqrt(3) sin 30^(@)`
`100 sqrt(3)/2-(50sqrt(3))/2=25sqrt(3)N`
so resultant pull`=sqrt((325)^(2)+(25sqrt(3))^(2))=327.9 N`
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ALLEN -BASIC MATHS-Exercise-04 [A]
  1. A force (3hati+2hatj) N displaces an object through a distance (2hati-...

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  2. A vector vecF(1) is along the positive X-axis. If its vectors product ...

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  3. If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively...

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  4. Two vectors vecP and vecQ that are perpendicular to each other are ...

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  5. The magnitude of the vector product of two vectors vecA and vecB may n...

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  6. If vecPxxvecQ=vecR, then which of the following statements is not true...

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  7. The vector vecB=5hati+2hatj-Shatk is perpendicular to the vector vecA=...

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  8. Electro motive force (EMF) is :

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  9. A physical quantity which has a direction:-

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  10. Which of the following physical quantities is an axial vector ?

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  11. The minimum number of vectors of equal magnitude required to produce a...

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  12. How many minimum number of vectors in different planes can be added to...

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  13. How many minimum number of coplanar vector having different magnitudes...

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  14. What is the maximum number of rectangular components into which a vect...

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  15. What are the maximum number of rectangular component in which a vecto...

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  16. What is the maximum number of rectangular components into which a vect...

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  17. The vector sum of the forces of 10 newton and 6 newton can be:

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  18. The vector sum of the forces of 10 newton and 6 newton can be:

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  19. The unit vector along hati+hatj is :

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  20. What is the projection of vecA on vecB ?

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