Find the cosine of the angle, 0 Ses x/2, between the plane x +2y-2z= 2 and the plane 4y-5x + 3z = -2.

Q: Find parametric equations for the line in which the planes, x+2y-2z=5 and 5x-2y-z=0 intersects. Show…

A: Given, The equation of intersecting planes, x+2y-2z=5 and 5x-2y-z=0.   We have, x + 2y = 2z + 5 and…

Q: Find the distance from the point (7, -14, -21) to the plane:  2x - 3y - 6z = 1

A:

Q: Find the angle of intersection of the plane 4x - 2y - 2z = 4 with the plane -1x + 3y + 2z = -5.…

A: We know angle of intersection between two planes  A1x+B1y+C1z=D1 and A2x+B2y+C2z=D2 is…

Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: Find the distance from the point (−1, −2, −3) to the plane 4x - 4y + 4z = 3.

A:

Q: Find the distance (d) from the point (- 4, 8, 4) to the plane 2x + 5y + 4z = - 50. d =

A: image is attached

Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

A:

Q: Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

A:

Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

A:

Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8…

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become: