Find an equation of the plane through the three points P = (0, 0, 4), Q = (-3, 4, 0), R = (-1, -2, 3). You can write your equation in general form or scalar form.

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Write the equations of three non-parallel planes that all intersect at (-4, 7, 1).

A:

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

Q: Find the linear equation that is straight through the line (5,5) and parallel to the line 12x-6y=19?

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Q: find an equation of a line that passes through the point (-2,3) and is perpendicular to the line 5y…

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Q: Write the equation of a linear model through the points (600,19) and (2000,5)?

A: The given points are (600,19) and (2000,5). It is known that, the equation of the line passes…

Q: find the equation of the line parallel to 8x+13y=16 and passing through the point (0,16).

A: Given equation of a line 8x+13y=16 and a point 0,16 through which a parallel line passes. To find…

Q: Find the equation for the horizontal line passing through the point (15, 9)

A: If y always equals 9 then the x value will change but then y value will not. This means that the…

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…