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Determine vector and parametric equations for the plane containing the point A(2, 3,...

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oyechalphut | Student, Grade 10 | Honors

Posted February 27, 2013 at 5:32 PM via web

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  1. Determine vector and parametric equations for the plane containing the point A(2, 3, -1) and parallel to the plane with equation (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4). Show your work.
  2. Determine vector and parametric equations for the plane through the point (1, -2, 3) and parallel to the xy-plane. Show your work.
  3. Does the line with equation (x, y, z) = (5, -4, 6) + u(1,4,-1) lie in the plane with equation (x, y, z) = (3, 0, 2) + s(1,1,-1) + t(2, -1, 1)? Justify your answer algebraically.

Tagged with calculus, components, math, vectors

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