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qUESTIONS

The vectors from origin to the points A and B are Ā = 3î + 6ĵ + 2k̂ and B̅ = 2î + ĵ – 2k̂ respectively. The are a of the triangle OAB be

The length of second’s hand in watch is 1 cm. The change in velocity of its tip in 15 seconds is

The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is12. If the resultant is at 90° with the force of smaller magnitude, what are the, magnitudes of forces

If a vector P̅ making angles α, β, and γ respectively with the X, Y and Z axes respectively. Then sin²α +sin²β +sin² γ =

P, Q and R are three coplanar forces acting at a point and are in equilibrium. Given P =1.9318 kg wt, sinθ1 = 0.9659, the value of R is ( in kg wt)

IF | Ā x B̅ | = √3ĀB̅, then the value of | Ā + B̅ | is

The angle between two vectors given by 6î + 6ĵ – 3k̂ and 7î + 4ĵ + 4k̂ is

A particle moves in the x-y plane under the action of a force F̄ such that the value of its linear momentum (P̅) at anytime t is Px = 2cost, Py = 2sint.The angle θ between F̄ and P̅ at a given time t. will be

The vector P̅ = aî + aĵ + 3k̂ and Q̅ = aî – 2ĵ – 1k̂ are perpendicular to each other. The positive value of ais

If a particle of mass m is moving with constantvelocity v parallel to x-axis in x-y plane as shown infig. Its angular momentum with respect to origin atany time t will be

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