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The direction cosines of a vector vec(A)...

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

A

`4hat(i) + hat(j) + 3hat(k)`

B

`4hat(i) + 5hat(j) + 3hat(k)`

C

`4hat(i) - 5hat(j) - 3hat(k)`

D

`hat(i) + hat(j) -hat(k)`

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The correct Answer is:
B
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AAKASH SERIES-MOTION IN A PLANE -Exercise -II
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  3. The direction cosines of a vector vec(A) are cos alpha = (4)/(5sqrt(2)...

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  4. Let vec(A) = (hat(i) + hat(j)) and, vec(B) = (2hat(i) - hat(j)). The m...

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  5. If vec(A) = 2hat(i) - 3hat(j) + 4hat(k) its component in yz plane and ...

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  6. If vectors vec(A) and vec(B) are 3hat(i) - 4hat(j) + 5hat(k) and 2hat(...

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  7. A vector 3hat(i) + 4hat(j) rotates about its tail through an angle 37^...

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

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  10. The magnitudes of two vectors vec(P) and vec(Q) differ by 1. The magni...

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  11. Given a+b+c+d = 0 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 be...

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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 sum of two unit vectors is also a vector of unit magnitude, the...

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  17. If vec(P) + vec(Q) = vec(R) and vec(P) - vec(Q) = vec(S), then R^(2) +...

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  18. vec(P), vec(Q), vec(R), vec(S) are vector of equal magnitude. If vec(P...

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

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

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