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 an equation of the plane. The plane that passes through the point (-3, 1, 2) and contains the…

A: This question is related to planes. We will solve this question by using property of plane

Q: x- ind the equation of the plane that contains the line 4. z+2 and the point P(3, -1, 2). Simplif -3…

A:

Q: b0 = -6, b1 = 5, b2 = 0a. determine whether the plane slopes upward, slopes downward, or is…

A: (a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes…

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: b0 = 5, b1 = 2, b2 = 7 a. determine whether the plane slopes upward, slopes downward, or is…

A: a. The y-intercept and partial slopes of the plane are respectively b0=5, b1=2, b2=7. Direction of…

Q: b0 = 0, b1 = 0, b2 = 3 a. determine whether the plane slopes upward, slopes downward, or is…

A:

Q: Determine the equation for the plane throught the points: (5, -5, -7) and (14, -5, -9) that is…

A:

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…