Aparticle P travels along an elliptical spiral path such that its position vector r is def...

Aparticle P travels along an elliptical spiral path such that its position vector r is defined by r = {2cos(0.1t)i + 1.5 sin(0.1t)j + (2t)k} m, where t is in seconds and the arguments for the sine and cosine are given in radians. When t = 8 s, determine the coordinate direction angles α, β and γ, which the binormal axis to the osculating plane makes with the x, y, and z axes. Hint: Solve for the velocity vP and acceleration sip of the particle in terms of their i, j, k components. The binormal is parallel to vP × aP. Why?