Question

Find the equation of the line through (8,−6) that is
**perpendicular** to the line y=−x7−5.

Answer #1

Find an equation of the line that satisfies the given
conditions. Through (5, 7); perpendicular to the line y = 4
Find an equation of the line that satisfies the given
conditions. Through (−5, −7); perpendicular to the line passing
through (−2, 5) and (2, 3)

1.Find an equation for the plane that is perpendicular to the
line l(t) = (8, 0, 4)t + (5, −1, 1) and passes through (6, −1,
0).
2.Find an equation for the plane that is perpendicular to the
line l(t) = (−3, −6, 9)t + (0, 7, 1)and passes
through (2, 2, −1).

Find the equation of a line through the point (4, -3, 1) and is
perpendicular to the plane 2x – y + z = 6. Give the answer in
parametric form and in vector form.

Find the equation of the line that passes through the point
(2,3,4) and is perpendicular to the plane 2x-y + 3z = 4

(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) =

Find an equation of the plane.
The plane through the point
(1, 0, 3)
and perpendicular to the line
x = 6t, y = 6 − t, z = 5 + 3t

Find the equation of the line passing through the point (1,2,3)
and perpendicular to the lines r1(t) = (3 - 2t, 5 + 8t,
7 - 4t) and r2(t) = (-2t, 5 + t, 7 - t)

Find an equation of the line that satisfies the given
conditions. Through (−4, −13); perpendicular to the line passing
through (−1, −1) and (3, −3)

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) =

(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) =

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