Answer Happy

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Given that P(-1,3,2), Q(4, -2,6) and R(-7, -2,3) are three points on space. (a) Find the equation of the plane s that contains the points P, Q and R. A particle is subject to an acceleration vector, a(t) = -(i+j + k) m/s2. At t = 0, it is stationary and at the point (5, 5, 5). Hence, compute (b) the velocity, v(t), and position vector r(t), of this particle (c) the angle between the acceleration vector and the plane s. (d) the time t, when the particle passes through the plane s, correct to two decimals. (e) the velocity and speed of the particle at the time tq.