Plane P contains points A(1,0,3), B(2, 2, 3) and C(-1,3, 4). A normal equations of plane P is a) 2x- 2y + 4z +11 = 0 b) 2x - y + 7z- 23 = 0 c) None of the above
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Plane P contains points A(1,0,3), B(2, 2, 3) and C(-1,3, 4). A normal equations of plane
P is
a) 2x- 2y + 4z +11 = 0
b) 2x - y + 7z- 23 = 0
c) None of the above
Step by step
Solved in 2 steps
- 3.Vector (3, −7, 5) is normal to a plane P and point (0, 0, −2) is in the plane.Provide equation of Pthe xyz-plane determine the distance and angle from point (2,1,1) in the space and two planes (x-y-2z=9) and ( x+y+z=4).1.Find an equation of the plane which passes through the point (2, -7, 1) and is perpendicular to 3x - y -11z =0.2.Find the distance between the parallel planes 2x - y - z = 5 and -4x + 2y + 2z = 123.What is the normal vector of the plane x + y - z = 1?
- A,b and c Please show how you got the points on the x,y and z planeFind an equation of the plane with the characteristics. The plane passes through the points (2, 2, 1) and (−1, 1, −1) and is perpendicular to the plane 2x − 3y + z = 3Find an equation of the plane with the given characteristics. The plane passes through the point (2, 0, 1) and contains the line given by x 2 = y − 4 −1 = z.
- A plane passes through the point (2, 0, −1) and has a normal vector of (1, 1, 1). Consider a line passing through the points (1, 5, 1) and (2, 4, 0). Find the point of intersection with the plane, or if the line is parallel to the plane, find the point of distance between the plane and the line. Do so by hand, without any graphical utilities.3.) It is known that the plane α is parallel to the line 2/3 - x =y-7/3 = 11 - z and line x - 1 = y-2/2 = z-3/3 lies in plane α. Find the equation of plane α.determine the standard and general equation o a plane containing the points (1,-1,2), (-3,4,-1) and (3,-2,5)
- Locate the point of intersection of the plane 2x + y - z = 0 and the line through (4,2,0) that is perpendicular to the plane. If it is not possible to locate such points, explain why?Find an equation of the plane. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0)Determine a Cartesian equation of the plane Π1 which passes through the points A(2,−3,5) and B(−1,0,7) and which is perpendicular to the plane Π (see image).