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1. Determine if the vectors a = [-1, 5, 3], b = [-2, 4, 7], and c = [10, 7, 1] are coplanar. 2. Given

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1. Determine if the vectors a = [-1, 5, 3], b = [-2, 4, 7], and c = [10, 7, 1] are coplanar. 2. Given a = [4, 7, 1] and b = [-3,1, 5]: a) Calculate the angle between a and b. b) If c = [3, -4, t], find t so that a and c are perpendicular.Given that these are math questions, I personally find solutions that are written on paper to be preferable. I need full steps for each question. I appreciate your great help. Useful Formulas axb = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1) |dpt-plane In . PQ] PIP2 . nil nj 'nz X n3 = 0 sin A sin B a b c2 = a2 + 62 - 2ab cos C W = F . d f ( x + h) - f(x) lim x- h

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