Consider the three following points of R'. A = (0, 2, 2) B = (1, 1, 1) C = (-1, 1,2) (a) Find the area of the triangle whose vertices are the points A, B and C. (b) Find the scalar equation of the plane that contains the three points A, B, C.

Q: Show that the points A = (1, 2), B = (1,0), and C = collinear and express P = (-7,0) in barycentric…

A:

Q: Find a scalar equation of the plane containing the line and the point (-5, -1,5). x = 6 +8t, y=-1-3t…

A:

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

A:

Q: Find a scalar equation of the plane that contains the points (−1, −3, 1), (1, 0, 3), and (2, 7, 0).

A: We are going to solve

Q: Determine vector and parametric equations for the line in R that passes through the points A(1,0, 1,…

A:

Q: Determine the scalar equation of the plane that contains A(-1, 3, 1) and is perpendicular to both 5x…

A: The normal vector of a plane is a vector that is perpendicular to the plane. The coefficients of x,…

Q: 7. Find the scalar equation of any plane which contains the line = (1,2,1)+ t(3,6,-1)

A:

Q: - 3)² = 81 then, find its ce or a=<3, -1

A: 1. Given: The points are 2,3,-6 and -1, 4, 5 To find the distance between the given points. The…