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The radius vector of a point depends on time t, as r = c t +(b t^(2))/(2) where c and b are constant vectors. Find the modulus of velocity and acceleration at any time t.

The radius vector of a point depends on time t, as r = c t +(b t^(2))/(2) where c and b are constant vectors. Find the modulus of velocity and acceleration at any time t.

The velocity of a particle varies with time as per the law vec(V) = vec(a) + vec(b)t where vec(a) and vec(b) are two constant vectors. The time at which velocity of the particle is perpendicular to velocity of the particle at t= 0 is

Prove the following : vec a * (vec a xx vec b) = 0 , where are vec a and vec b are any two vectors.

The position vector of a particle P with respect to a stationary point O change with time according to the law vec(r) = vec(b) sin omega t + vec(c) cos omega t where vec(b) and vec(c) are constant vectors with b pot c and omega is a positive constant. Find the equation of the path of the particle y = f (x) , assuming x an dy axes to coincide with the direction of the vector vec(b) and vec(c) respectively and to have the origin at the point O

If the vectors vec a+vec b+vec c,vec a+lambdavec b+2vec c,-vec a+vec b+vec c are linearly dependent then lambda

Fven that vec A xx vec B= vec B xx vec C = vec 0 . If vec A. vec B and vec C are not null vectors, find the value of vec Cxx vec A .