Answer these questions True or False. Pleasegive an explanation. Will rate 5 stars!!
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The equations x1 = 2 + 2s, x2 = -1 + 10s + 7t, x3 = 4s, - 8t, x4 = 3 - 8s + 6t is a parametric equation of the plane in R4 which passes through (2, -1,0,3) and is parallel to (1,5,2, -4) and (0,7,-8,6). The parametric equation is equivalent to the equation (x,y,z) = (1,4,5) + t (1,2,3), t R which is a line in R3. The parametric equations x = 1 + 3t, y = - 2 + 7t, z = t, t R represent a line in R3 which passes through (1, -2,0) and is parallel to v = (3, 7, 1). If x is a solution of Ax = 0. then x is orthogonal to each of the row vectors of A.
