Question

Find the intersection of two planes 3x + 2y − 5z = 3 and x − y − 2z = 4.

Answer #1

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

. Find the intersection of the planes x − y + 5z = 9 and
x = 1 + s − t
y = 1 +2 s − t
z = 2 − s + t .
(a) Find the line ℓ1 perpendicular to the first of these planes
and passing across the point (1, 2, 2).
(b) Find a line ℓ2 perpendicular to the second of these planes
and passing across the point (1, 2, 2).
(c) Find the...

Find a plane containing the point (-6,-5,2) and the line of
intersection of the planes −7x−y−7z=−55 and x+2y−5z=−19

use gauss Jordan to solve
5x+11y+5z=42
x+2y+2z=9
3x+3y+2z=35

Determine the equation of the line of intersection of the two
planes 5x-2y-2z=1 and 4x+z=6.

Use Stokes' Theorem to evaluate ∫ C F · dr where F = (x +
5z) i + (3x + y) j + (4y − z) k and C is the curve of
intersection of the plane x + 2y + z = 16 with the coordinate
planes

Find a nonzero vector parallel to the line of intersection of
the two planes 2z−(2x+5y)=4 and y+3z=2

4. Consider the planes x + 2y − 2z = −4 and 2x − 5y − z + 11 =
0. i. Determine parametric equations for the line of intersection
of the planes. ii. Determine the dihedral angle between the planes
as an exact value.

Find the angle, in degrees, between the planes 2x-3y + 6z = 5 and x-2y + 2z = 4. Answer the obtuse angle between the two planes, approximated to the nearest integer.

Given the parallel planes x + 2y + 3z = 1 and 3x + 6y + 9z = 18.
Find a normal vector to these planes.

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