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- Find the equation of the plane through the points ?(1,2, −1) , ?(1,0,2) , ?(2,2,2)Find an equation of the plane that passes through the points P, Q, and R. P(5, 6, 7), Q(3, 4, 5), R(8, 4, 7)Let A(2, 1, 1), B(1, 2, 1), and C(1, 1, 2) be three given points. Find (iv) an equation of the plane through the points A, B, and C.
- Find an equation for the plane that passes through the following points. (3, −1, 5), (0, 0, 6), and (6, 7, −1)Write the equation for the plane.The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and R(-1, 2, 1).calc 3 Find an equation of the plane. The plane through the points (0, 4, 4), (4, 0, 4), and (4, 4, 0)
- find the equation for the plane through the points P (3,-4,-2) Q (0,0,1) and R (-5,-3,5).Find an equation for the plane through A(0, 0, 1), B(2, 0, 0), and C(0, 3, 0).Find the equation of the plane containing the three points (1, 2, -4), (10, -1, 2), (10, 0, 4) in which the coefficient of x is -12.HINT. Find the equation of the plane as usual, then simplify it and scale it if necessary.
- Find an equation of the plane. The plane through the points (3, -1, 2), (8, 3, 4), and (-1, -2, -3)Write an equation that describes each plane: 1. The plane perpendicular to the y-axis at (0,4,0) 2. The plane passes through the point (−6,4,9) perpendicular to the ?-axis: 3. The plane through the point (−6,4,9) perpendicular to the ?-axis: 4. The plane through the point (−6,4,9) perpendicular to the z-axis:Find the equation of the plane passing through the following three points. (a) (−5, 1, 1), (2, 1, −1), (0, 1, 0); (b) (−1, 1, −1), (1, 1, 2), (1, 3, 0).