Question

Find parametric equations for the line through (1, 1, 6) that is perpendicular to the plane x − y + 3z = 8. (Use the parameter t.) (x(t), y(t), z(t)) = 1+t, 1-t, 6+3t Correct: Your answer is correct.

(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) =

Answer #1

(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) =

(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) =

1) Find an equation of the plane. The plane through the point
(7, 0, 4)and perpendicular to the line x = 3t,y = 3 − t,z = 1 +
7t
2) Consider the following planes.x + y + z = 2, x + 6y + 6z =
2
(a) Find parametric equations for the line of intersection of
the planes. (Use the parameter t.) (x(t), y(t), z(t))
=
(b)Find the angle between the planes. (Round your answer to one
decimal...

Find parametric equations of the line that passes through (1, 2,
3) and is parallel to the plane
2 x − y + z = 3 and is perpendicular to the line with parametric
equations:
x=5-t, y=3+2t , z=4-t

Find parametric equations of the line that passes through (1, 2,
3) and is parallel to the plane
2 x − y + z = 3 and is perpendicular to the line with parametric
equations:
x=5-t, y=3+2t, z=4-t

Consider the line which passes through the point P(4, 5, 4), and
which is parallel to the line x=1+3t, y=2+6t, z=3+1t
Find the point of intersection of this new line with each of the
coordinate planes:
xy-plane: ( , , )
xz-plane: ( , , )
yz-plane: ( , , )

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 a vector equation and parametric equations for the line.
(Use the parameter t.)
The line through the point
(0, 12, −8)
and parallel to the line
x = −1 + 3t,
y = 6 − 4t, z
= 3 + 6t

given the plane P:2y-3z-6=0, find scalar parametric equations for
the line perpendicular to P that passes through the point
(-1,-2,3)

Find an equation of the plane.
The plane that passes through the line of intersection of the
planes
x − z = 2 and y + 3z = 1
and is perpendicular to the plane
x + y − 3z = 3

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