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A force oversetrarrF =(4hati + 2hatj -ha...

A force `oversetrarrF =(4hati + 2hatj -hatk)` N acts on a body at a distance of `oversetrarrr = (-hati-3hatj + hatk)`m from the origin of an inertial reference frame. Find the torque acting on the body.

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What is the torque of force vec F = (2hati -2hatj - 4hatk) N acting at a point vec r = (3hati + 2hatj) m about the origin?

A force vecF = (2hati + 3hatj) N acts on particle, whose position with respect to the 'O' of an inertial frame of reference is given by vecr = (3hati + 2hatj) m determine the torque acting on the particel.

Find a if oversetrarrA = 3hati - 2hatj + 4hatk and oversetrarrB = ahati +2hatj - hatk are perpendicular to one another.

Find, oversetrarrP.oversetrarrQ where oversetrarrP = 2hati + 2hatj + hatk and oversetrarrQ = hati-hatj+ 2hatk

If oversetrarrv_(1) = 3hati + 4hatj + hatk and oversetrarrv_(2) = hati - hatj - hatk determine the magnitude of oversetrarrv_1 + oversetrarrv_2

Show that the vectors oversetrarrA = 4hati + 2hatj- 4hatk and oversetrarrB = hati + 4hatj + 3hatK are perpenducular to each other.

If oversetrarrA = 2hati + hatj - hatk and oversetrarrB = hati + hatj -hatk , determine the unit vector parallel to oversetrarrA xx oversetrarrB .

Show that oversetrarra = 2hati + 5hatj-6hatk and oversetrarrb =hati + frac(5)(2)hatj -3hatk are parallel.

A particle has a displacement represented by oversetrarrr = (hati + 2hatj + hatk) m when under the action of two forces oversetrarrFunderset(1) = (2hati - 3hatj + 2hatk) N qand oversetrarrFunderset(2) = (hati + hatj + 3hatk) N. Find the work done.

Show that vectors oversetrarra =2hati + 3hatj + 6hatk , oversetrarrb = 3hati -6hatj + 2hatk and oversetrarrc = 6hati + 2hatj - 3hatk are mutually perpenducalar.

CHETANA PUBLICATION-MATHEMATICAL METHODS-EXERCISE
  1. Find oversetrarrA xx oversetrarrB, where oversetrarrA = 2hati- 5hatj+ ...

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  2. If oversetrarrA = 2hati + hatj - hatk and oversetrarrB = hati + hatj -...

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  3. A force oversetrarrF =(4hati + 2hatj -hatk) N acts on a body at a dist...

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  4. Find the area of the triangle formed by oversetrarrA =3hati - 4hatj + ...

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  5. Find the area of the parallelogram with adjacent sides formed by overs...

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  6. If |barA+barB|=|barA-barB|then what can be the angle between barA and...

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  7. Using the rule for different for quotient of two functions,prove that ...

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  8. Chose the correct option The angle made by 2hati + 3hatj with Z axi...

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  9. Chose the correct option The magnitude of (hati + hatj +hatk) is

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  10. Chose the correct option vector 2hati + 3hatj -7hatk and hati + mha...

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  11. Chose the correct option If (oversetrarra + oversetrarrb) is maximu...

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  12. Chose the correct option If the vector oversetrarrahati + 0.8hatj +...

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  13. Chose the correct option When 2 vectors oversetrarra and oversetrarr...

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  14. Chose the correct option If a vector has magnitude5, its components...

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  15. Chose the correct option Two forces of magnitude 7N and 5N act on a...

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  16. Chose the correct option A force oversetrarrF = (2hati- 10hatj + 12...

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  17. Chose the correct option The force acting on a body of mass m, prod...

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  18. Chose the correct option The value of (oversetrarrA + oversetrarrB)...

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  19. Chose the correct option The angle between (hati + hatj) and (hatj ...

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  20. Chose the correct option The resultant of two vectors oversetrarrp ...

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