of the line passing through the point A(7, 1, -2) and perpendicular to the plane with equation 2x - 3y + z-1=0. 5. Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, -2), with normal = (-1, 3, 3) b. through the points (3, 0, 1) and (0, 1, -1), and perpendicular to the plane with equation x-y-z + 1 = 0 c. through the points (1, 2, 1) and (2, 1, 4), and parallel to the x-axis 6. Determine the Cartesian equation of the plane that passes through the origin and contains the line 7=(3, 7, 1) + (2, 2, 3), 1ER. 7. Find the vector and parametric equations of the plane that is now yz-plane and contain th
of the line passing through the point A(7, 1, -2) and perpendicular to the plane with equation 2x - 3y + z-1=0. 5. Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, -2), with normal = (-1, 3, 3) b. through the points (3, 0, 1) and (0, 1, -1), and perpendicular to the plane with equation x-y-z + 1 = 0 c. through the points (1, 2, 1) and (2, 1, 4), and parallel to the x-axis 6. Determine the Cartesian equation of the plane that passes through the origin and contains the line 7=(3, 7, 1) + (2, 2, 3), 1ER. 7. Find the vector and parametric equations of the plane that is now yz-plane and contain th
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 16EQ
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