For the three vectors v = (1, 5, 7), u = (2. -3, -4), w =(0. -2,-2) and four points 0=(0, 0, 0), A=(l, 6. 4), B=(2, 4, -1), and C=(-l, 2. 5) in R3 Find: Find a vector equation and parametric equations of the line that passes through point A and parallel to vector u and w. The area of triangle determined by the points A, B. and C. The perimeter of triangle determined by the points A, B, and C. The volume of the parallelepiped with sides u, v, and w Is the three vectors OA, OB. and OC lie in the same plane? Prove?
