Question

Find the parametric equations of the line in which the planes x+2y+4z=1and -2x-2y+z=4 intersect.

Answer #1

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.

Complete the parametric equations for the line where the planes
− 2 y − 12 z = − 8 and − 6 x + 7 y − 3 z = − 17 intersect. x ( t )
= 90 t. Find y ( t ) and z ( t ).

Solve the system of linear equations: x-2y+3z=4 2x+y-4z=3
-3x+4y-z=-2
2. Determine whether the lines x+y=1 and
5x+y=3 intersect. If they do, find points of intersection.

1) Solve these equations: 3x-y=-11
x+2y=8
2) Solve these equations:
x+y+z=6
x-y-z=-4
2x+y-4z=-8

Determine whether the planes x−2y+3z−4 = 0 and −2x+5y+4z = −1
are orthogonal.

Complete the parametric equations for the line where the planes
−10x + 7y + 3z = −27 and -7x + 3y - z= -7 intersect. x(t) =
−16t

(a) Find parametric equations for the line through
(2, 2, 6)
that is perpendicular to the plane
x − y + 3z = 7.
(Use the parameter t.)
(x(t), y(t), z(t)) =
(b) In what points does this line intersect the coordinate
planes?
xy-plane
(x, y, z) =
yz-plane
(x, y, z) =
xz-plane
(x, y, z) =

(a) Find parametric equations for the line through
(5, 3, 6)
that is perpendicular to the plane
x − y + 3z = 1.
(Use the parameter t.)
(x(t), y(t), z(t)) =
(b) In what points does this line intersect the coordinate
planes?
xy-plane
(x, y, z) =
yz-plane
(x, y, z) =
xz-plane
(x, y, z) =

1)Find sets of parametric equations and symmetric equations of
the line that passes through the two points. (For the line, write
the direction numbers as integers.)
(5, 0, 2), (7, 10, 6)
Find sets of parametric equations.
2) Find a set of parametric equations of the line with the given
characteristics. (Enter your answer as a comma-separated list of
equations in terms of x, y, z, and
t.)
The line passes through the point (2, 1, 4) and is parallel to...

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

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