Find parametric equations for the line through the point
(0, 2, 3)
that is perpendicular to the line
x = 2 + t,
y = 2 − t, z
= 2t
and intersects this line. (Use the parameter t.)
(x(t),
y(t),
z(t)) =
1. a.) determine vector and parametric equations for the line
through the point A(2, 5) with direction vector = (1,
−3).
b.)Determine a vector equation for the line through the points
(-1, 4) and (2, -1).
c.) Determine parametric equations for the line through (-2,
3) and parallel to the line with vector equation = (−2, 1)
+ t(6, 4).
d .) A line passes through the point (-4, 1)
and is perpendicular to the line with parametric equations...
Write equations of the lines through the given point parallel to
and perpendicular to the given line.
4x + 6y = 0, (7/8,3/4)
(a) parallel to the given line
(b) perpendicular to the given line
Find the equation of the line through the point P = (0,2,−1)
that is perpendicular to both ⃗v = 〈3,0,1〉 and ⃗w = 〈1,−1,2〉.
v and w are vectors by the way
(a) Find symmetric equations for the line that passes through
the point
(5, −5, 6)
and is parallel to the vector
−1, 3, −2
.
−(x − 5) = 3(y + 5) = −2(z − 6).
x + 5 =
y + 5
3
=
z − 6
−2
.
x − 5
−1
=
y + 5
3
=
z − 6
−2
.
x + 5
−1
=
y − 5
3
=
z + 6
−2
....
1. Write an equation of the line perpendicular to the line y=
-1/2x + 5 at (-4,3) and sketch its graph.
Draw the graph of y= 3 sin 2x from x=0 to x=2π.
Let f(x) = x - 4 and let g(x) = x^2 − 16. Specify the domain
of f(x)/g(x).
Draw the graph of y = -2+|x-3|
Draw the graph of y = -2x^2 + 8x - 3 and label its
minimum.
Draw the graph of y= squareroot of...
(a) Find parametric equations for the line through
(3, 4, 8)
that is perpendicular to the plane
x − y + 4z = 5.
(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) =
The line k goes through the point Q(-3,5) and is perpendicular
to the line g: x - 3y - 22 = 0. Where do the angle bisectors of
lines g and k intersect the line AB when A = (-3,3) and B =
(10,3)?
1. Find an equation of the line that satisfies the given
conditions.
Through (1/2, -2/3); perpendicular to the line 6x - 12y = 1
2. Find the slope and y-intercept of the line. Draw its
graph.
4x + 5y = 10
3. Find the x- and y-intercepts of
the line. Draw its graph.
5x + 3y − 15 = 0
4. The equations of two lines are given. Determine whether the
lines are parallel, perpendicular, or neither.
y = 4x +...