Find an equation of the plane. the plane that contains the line x = 2 + t, y = 3 - t, z = 5 - 3t and is parallel to the plane 5x + 2y + z = 7

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

Q: Find the equation for the plane through the points Po(-1,-5,-2), Qo(3,-4,2), and Ro(1,1,5). .....…

A: Given: P0-1, -5, -2, Q03, -4, 2 and R01, 1, 5

Q: Find the equation of the plane containing the three points (1, 2, -4), (10, -1, 2), (10, 0, 4) in…

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Q: Find the equation for the plane through the points Po(-3,5,3), Qo(0, – 5,2), and Ro(1,1,- 2). The…

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Q: Find an equation of the plane. the plane that passes through (8, 0, -1) and contains the line x = 5…

A: The equation of plane through a point and contains a line

Q: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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Q: Find the equation for the plane through Po(-4,-3,8) perpendicular to the following line. x= -4+t,…

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Q: Find an equation of the plane. The plane that passes through  (7, 0, −2)  and contains the line  x…

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Q: Find the equation for the plane through the points Po(-1, −5, − 3), Q₁ (3, — 4, − 1), and Rō(4,4,1…

A: The given points are .The aim is to find the equation of the plane which passes through the given…