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A vector vecF(1) is along the positive X...

A vector `vecF_(1)` is along the positive `X`-axis. If its vectors product with another vector `vecF_(2)` is zero then `vecF_(2)` could be

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The correct Answer is:
`2sqrt(19), tan^(-1) ((3sqrt(3))/7)`

`|vec(A)-vec(B)|=sqrt(A^(2)+B^(2)-2AB cos theta)`
`=sqrt((10)^(2)+(6)^(2)-2(10)(6)cos 60^(@))=2sqrt(19)`
`tan alpha=(6 sin 60^(@))/(10-6 cos 60^(@))=(6xxsqrt(3)//2)/(10-3)=(3sqrt(3))/7`
`rArr alpha=tan^(-1) ((3sqrt(3))/7)`
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ALLEN -BASIC MATHS-Exercise-04 [A]
  1. If vecA=2hati+4hatj and vecB=6hati+8hatj and A and B are the magnitude...

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  2. A force (3hati+2hatj) N displaces an object through a distance (2hati-...

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

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

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

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

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

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

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  9. Electro motive force (EMF) is :

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  10. A physical quantity which has a direction:-

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

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

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

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

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

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

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

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

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  20. The unit vector along hati+hatj is :

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