d d Calculate r:(t) · r2(t)] and dt' [ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d dr2, dri [ri(t) · r2(t)] = ri(t) · dt r2(t) and dt dt d dr2 dri [r1(t) × r2(t)] = ri(t) x dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 7tk, r2(t) = 6i + tk d [r(t) · r2(t)] = d [r:(t) × r2(t)] = dt

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