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The direction cosines of a vector a are ...

The direction cosines of a vector a are `cos alpha = 4/(5sqrt(2)), cos beta =1/sqrt(2)` and `cos gamma =3/(5sqrt(2))` then the vector `vecA` is

A

`4hati+hatj+3hatk`

B

`4hati+5hatj+3hatk`

C

`4hati-5hatj-3hatk`

D

`hati+hatj-hatk`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-MOTION IN A PLANE-EXERCISE-2 (Addition, Subtraction and Resolution)
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  2. A bird moves in such a way that it has a displacement of 12 m towards ...

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  3. The direction cosines of a vector a are cos alpha = 4/(5sqrt(2)), cos ...

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  4. If vecP=hati+2hatj+6hatk its direction cosines are

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  5. If A = 2i - 3 j + 4k its components in yz plane and zx plane are respe...

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  6. If vectors vecA and vecB are 3 hati - 4 hatj + 5 hatk and ...

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  7. A vector sqrt(3)hati + hatj rotates about its tail through an angle 3...

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  8. Maximum and minimum magnitudes of the resultant of two vectors of magn...

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  9. The resultant of two equal forces is 141.4N when they are mutually per...

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  10. The magnitudes of two vectors vecP and vecQ differ by 1. The magnitud...

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  11. Which of the following statement is incorrect

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  12. The resultant of two forces 2P and sqrt(2)P is sqrt(10)P The angle bet...

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  13. Eleven forces each equal to 5N act on a particle simultaneously. If ea...

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  14. Which of the following sets of forces acting simultaneously on a parti...

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  15. The resultant of two forces 1 and P is perpendicular to ' 1' and equal...

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  16. If the difference of two unit vectors is also a vector of unit magnitu...

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  17. If vecP + vecQ = vecR and vecP - vecQ = vecS , then R^(2) + S^(2) is ...

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  18. The greater and least resultant of two forces are 7 N and 3 N respecti...

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  19. Two forces are such that the sum of their magnitudes is 18 N, the resu...

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  20. Figure shows three vectors veca, vecb and vecc where R is the midpoi...

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