A particle P travels along an elliptical spiral path such that its position vector ris defined by {2 cos(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, ß, and γ, which the binormal axis to the
osculating plane makes with the x, y, and z axes. Solve
for the velocity v_p and acceleration a_p of the particle in terms of their i, j, k components. The binormal is parallel to V_p X a_p. Why?

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