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1. If X I: a,- 2, 3} and V12, -5, 8} are two points in R3, determine: a} Y? [3] b} |XY| [2] c} The

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1. If X I: a,- 2, 3} and V12, -5, 8} are two points in R3, determine: a} Y? [3] b} |XY| [2] c} The coordinates of a unit vector in the opposite direction of X? [3] 2. Show that [2, 9] can be written as a linear combination of i- 2, 4} and [1, 3}. [5] 3. Using vectors, determine whether the points P[ 3, 4, 5], 0. {-6, -8, -10], and R1 -3, -4, -5] are collinear. [4]

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