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The velocity of a particle

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(a) Consider the three vectors a = i - 2j + k, b = 2i + 4k and c = i + 2j + 3k.
i. Find the sum a+b, the scalar product a.b and the vector product axb.
ii. Are the three vectors a, b and c co-planar? Explain your reasoning.

(b) The velocity of a particle at time t is v(t) = sin ti + cos tj - 9.8 tk.
i. What is the particle's (vector) acceleration, a(t) = dv/dt as a function of time?
ii. Given that at t=0 the particle is at (1,0,0), find its position at time t.

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The velocity of a particle is investigated.

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