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10 Nov 2019
gnment 5, you discovered that a vector u R2 could be represented (using an approach similar to polar form for complex numbers) as u - r(cos(a), sin(a) where r lull and α is the angle between u and the positive x axis. Suppose we represent two vectors u -r(cos(a), sin(a)) and v s(cos(8), sin(8)) in this way as illustrated. (a) Express the angle θ between u and v in terms of α and β (easy) and hence use the compound angle formula for cosine to express cos(0) in terms of cos(a), cos(B), sin(a) and sin(β). (b) Use the scalar product formula to find cos(0). What do you notice? 2. Tom is driving along a road in country Victoria and his position at time t is given by r 0, 10R2 where r(t)-t2tj.
gnment 5, you discovered that a vector u R2 could be represented (using an approach similar to polar form for complex numbers) as u - r(cos(a), sin(a) where r lull and α is the angle between u and the positive x axis. Suppose we represent two vectors u -r(cos(a), sin(a)) and v s(cos(8), sin(8)) in this way as illustrated. (a) Express the angle θ between u and v in terms of α and β (easy) and hence use the compound angle formula for cosine to express cos(0) in terms of cos(a), cos(B), sin(a) and sin(β). (b) Use the scalar product formula to find cos(0). What do you notice? 2. Tom is driving along a road in country Victoria and his position at time t is given by r 0, 10R2 where r(t)-t2tj.
Jean KeelingLv2
10 Apr 2019