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Question: Let u, v, and w be distinct vectors of a real vector space V . [6 marks] (a). Show that span{u, v, w}=span{u + v − w, u + w − v, v + w − Answer: To show that ( \text{span}{u, v, w} = \text{span}{u + v – w, u + w – v, v + w – u} ), we need...
To plot the path of the particle, we need to find the expression for x in terms of t. We know that the velocity v_x is given by: vx=dxdt=50−16t𝑣𝑥=𝑑𝑥𝑑𝑡=50−16𝑡 Integrating with respect to t, we get: ∫dx=∫(50−16t)dt∫𝑑𝑥=∫(50−16𝑡)𝑑𝑡 x=50t−8t2+C𝑥=50𝑡−8𝑡2+𝐶 Given that x = 0...