Find the points on the surface 1x² + 1y² + 3x² = 1 at which the tangent plane is parallel to the plane 3x + 5y – 2z = 2. and

Q: Calculate the distance from point A(1, 2, 1) to the plane of equation 3x-4y + 5z = 1.

A: To find distance of point to plane using the formulae: Given point is and plane equation is .

Q: Find the coordinates of the point p on the plane #₁ - 2 + 2x3 = 0, that is closest to the point b =…

A: x1-x2+2x3=0  that is closest to the point (2,0,-2)

Q: Find an equation of the plane containing the point (2,1,-1) and parallel to the plane 3x – y + 2z =…

A:

Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

A:

Q: Find the distance between the parallel planes 4x – 3y + 12z = 12 and 4x — Зу + 12z 36.

A: In this problem we have to find distance between two parallel planes.

Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…

A:

Q: Find an equation of the plane containing the point (2,1,-1) and parallel to the plane 3x – y + 2z =…

A:

Q: Li Syaoran is riding an airplane which departs from an airport located at (360, 0) miles in the…

A: The westward speed of the airplane = 480 miles/ hour The northward speed of the airplane = 120…

Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…

A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…

Q: Find the distance from the point (1,1,1) to the plane 2x+2y+z=0

A: Solution :-

Q: Determine a so that the line x-3/a=y+5/2=z+1/4 is parallel to the plane 2x+3y-5z=14.

A: To determine  so that the line  is parallel to the plane .

Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

A: