A plane has x = 2m, y = -3m + 5n, z = -1 -...
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A plane has x = 2m, y = -3m + 5n, z = -1 - 3m - 2n, m, n ? R, as its parametric equations.a. By inspection, identify the coordinates of a point that is on this plane.b. What are the direction vectors for this plane?c. What point corresponds to the parameter values of m = -1 and n = -4?d. What are the parametric values corresponding to the point A(0, 15, -7)?
A plane has x = 2m, y = -3m + 5n, z = -1 - 3m - 2n, m, n ? R, as its parametric equations.a. By inspection, identify the coordinates of a point that is on this plane.b. What are the direction vectors for this plane?c. What point corresponds to the parameter values of m = -1 and n = -4?d. What are the parametric values corresponding to the point A(0, 15, -7)?
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