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qUESTIONS

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

If two vectors 2î + 3ĵ – 1k̂ and -4î – 6ĵ + λk̂ are parallel to each other then value of λ be

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

The maximum and minimum magnitude of the resultant of two given vectors are 17 units and 7unit respectively. If these two vectors are at rightangles to each other, the magnitude of theirresultant is

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