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A: Dot product of A.B is ad+be+cf where A=<a,b,c> and B=<d,e,f>.
Find the 2-dimensional position
V(t) = cos(ti) + t^3j and the initial position R(0) = i − 2j.
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- The angle between the velocity and acceleration vectors at time t=0 isA particle moves on the 0x axis with acceleration proportional to velocity. Assuming that v(0) = 3, v(1) = 2 and x(0) = 0, determine the position of the particle at time t.Find the derivative of ƒ(x, y, z) = xyz in the direction of the velocity vector of the helix r(t) = (cos 3t)i + (sin 3t)j + 3t k at t = π/3.