2. Find an equation for the plane that passes through the points P=(2,-1,3), Q = (0,0,5) and R=(5,7,-1). 3. Suppose that is a function of r and y that satisfies the equation əz x-z-sin(yz) = 0. Compute and Əz дх dy

Q: Find an equation of the plane that passes through the points A(2, 1, 1), B(-1, -1, 10), and C(1, 3,…

A: our objective is to find the equation of plane.

Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

A:

Q: Find the equation of the plane that contains the line x = 1+t, y = 2+2t, z = 3- (1, -2,4). e point p…

A:

Q: find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should…

A: Definition used -             Parametric equation of a line-             Parametric equation of…

Q: #3 Find the line equation(s) of the line(s) through point P(1, 0, 1) that meets the following line…

A: Given :  Given:P(1,0,1)L: x,y,x=1,2,0+t2,-1,2P0=1,2,0Aim: To find a line(s) through point P,…

Q: Find a plane containing the point (2,2,-5) and the line r(t) =<-6, -3, -7 > + < 6, -6,1…

A: Steps are explained in the image:

Q: Let Lz be the line passing through the point P-(10, 1. –10) with direction vector d--2, -2, 3]", and…

A: We will use formula for the shortest distance.

Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

A:

Q: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: Suppose the solution set of x1 + x2+2x4 What are the equations of the plane at (1,2,3,4) which is…

A: First we find direction vectors of the plane of solutions.

Q: Determine the point at which the line passing through the points P(1, 0, 6) and Q(7, -1, 7)…

A:

Q: If (x1, yı) and (x2, y2) are distinct points in the plane, show that y 1 1 =0 X1 x2 y2 is the…

A: If (x1, y1) and (x2, y2) are distinct points in the plane, to show that  xy1x1y11x2y21 =0 is the…

Q: Line A goes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A and passes…

A: Given: Line A passes through the points (4, −1, 0) and (1, 5, 2). Line B is parallel to line A. Line…

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given…

A: