Question: 58) Determine a vector that is orthogonal to E = [3, 1,4] 59} Identify the type of triangle with vertices A(2,3, 5), B(4,,1), and C(6,

 58) Determine a vector that is orthogonal to E = [3,1,4] 59} Identify the type of triangle with vertices A(2,3, 5), B(4,,1),and C(6, 4,0). 60) Determine the magnitude of it\" x v" 55)

58) Determine a vector that is orthogonal to E = [3, 1,4] 59} Identify the type of triangle with vertices A(2,3, 5), B(4,,1), and C(6, 4,0). 60) Determine the magnitude of it\" x v" 55) Determine the vector AB in the form [x, y, z] and determine its magnitude. a) A(2,13), B(5,7,1) b) A(3, -4,1), B(6, -1,5) 56) Given the vectors a = [-4,1,7], b = [2,0, -3], and c = [1, -1,5], simplify each expression. a) 7a b) 3a - 2b + 4c cJa . a d) (a + b) . (a -b) 57) Determine the angle between the vectors g = [6,1,2] and h = [-5,3,6]53) Are the vectors u = [6, -2, -5] and D = [-12,4,10] collinear? Explain. 54) Find a and b such that u = [a, 3,6] and v = [-8,12, b] are collinear

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