Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute the acute angle between II and II₂. (b) Determine the symmetric equations of l. (c) Give a point-normal equation of the plane through P(10,-1,-2) that is perpendicular to l.

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: The parametric equations for a line L₁ are as follows: x = −2+3t y = −4+6t z=-5-9t Let L2 be the…

A: The parametric equations for a line through the point (x0,y0,z0) and parallel to the direction…

Q: Where does the line with parametric equations −1+3t y = 2 - 2t 2 = 3+ t intersect the plane 3x + y -…

A: Given parametric equation of line x = -1 + 3t y = 2 - 2t z = 3 + t Given plane 3x + y - 4z = -4

Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

A: We have to find the parametric and symmetric form of the line perpendicular to the given plane at 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:

Q: The definite integral shown below is evaluated using Simpson's (1/3) rule with n=4. The result is *…

A:

Q: A:-Find parametric equations for the lines, the line through (4, 7, 1) perpendicular to the vectors…

A: I am attaching image so that you understand each and every step.

Q: 5. (a) (i) Find the equation of the plane II through the points (1, 1, 1), (1,3,2), and (2,2,0).…

A:

Q: (i) Find the distance from the point P(-1, 2, 1) to the plane II1 : 2x + y – 3z= 4. (ii) Find an…

A: