Mathematics, 25.02.2020 06:18 TimothyYash6684
The general equation of the plane that contains the points (1, 0, 2), (−1, 1, −2), and the origin is of the form ax + by + cz = 0. Solve for a, b, and c. (Enter the equation of the plane in terms of x, y, and z.)
Answers: 2
![\left[\begin{array}{ccc}x-x_1&y-y_1&z-z_1\\x_2-x_1&y_2-y_1&z_2-z_1\\x_3-x_1&y_3-y_1&z_3-z_1\end{array}\right] =0](/tpl/images/0523/0062/41b33.png)
![\left[\begin{array}{ccc}x-1&y&z-2\\-1-1&1&-2-2\\0-1&0&0-2\end{array}\right] \\=0\\(x-1)(-2) -y(4-4)+(z-2)(1) =0\\-2x+z=0\\2x-z-=0](/tpl/images/0523/0062/a93d6.png)
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The general equation of the plane that contains the points (1, 0, 2), (−1, 1, −2), and the origin is...
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