The line k goes through the point Q(-3,5) and is perpendicular
to the line g: x...
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)?
Find the equation of the line goes through (1,0,-1) that is
perpendicular to the lines x = 3+2t,y = 3t,z = −4t and x = t,y =
t,z = −t. Write it in parametric and the vector equation form.
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
The equation of the line that goes through the point (3,2) ( 3 ,
2 ) and is parallel to the line going through the points (−2,3) ( −
2 , 3 ) and (5,6) ( 5 , 6 ) can be written in the form ?=??+?
where:
m=
b=
1. write the equations of a line through the point (0, 2, -5)
and perpendicular to the plane -2x+3y+4z = 18. Use either
parametric or symmetric form.
2. Find the acute angle between the planes 2x+4y-z = 12 and
x-6y+5z= 20.
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)) =
Find the equation of the tangent line to the curve
y=5sec(x)−10cos(x) at the point (π/3,5). Write your answer in the
form y=mx+b where m is the slope and b is the y-intercept.
Given a segment, construct its perpendicular bisector.
Given a line an a point, construct the perpendicular to the line
through the point.
Given a line an a point not on the line, construct the parallel
to the line through the point.
If the perpendicular bisector of the line segment joining the points P(1, 4) and Q(k, 3) has y-intercept equal to -4, then a value of k is
(a) 2
(b) -4
(c) 1
(d) -2
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