A line passing through (1,2,3) and perpendicular to both r(t)=
<3-2t, 5+8t, 7-4t> and R(t) =...
A line passing through (1,2,3) and perpendicular to both r(t)=
<3-2t, 5+8t, 7-4t> and R(t) = <-2t, 5+t, 7-t> and also
passes through (-3,8,17)
True or false
Find an equation for the plane passing through the point
(4,−2,−1) that is perpendicular to the...
Find an equation for the plane passing through the point
(4,−2,−1) that is perpendicular to the line
L(t)=〈2t−4,4−4t,2−4t〉.
find the parametric equation of the line passing through the
point (1,7,2), parallel to the plane...
find the parametric equation of the line passing through the
point (1,7,2), parallel to the plane x+y+z=2 and perpendicular to
the line x=2t, y=(3t+5)2, and z=(4t-1)/3
Find the linear equation of the plane through the point (1,2,3)
and contains the line represented...
Find the linear equation of the plane through the point (1,2,3)
and contains the line represented by the vector equation
r(t)=〈3t,5−3t,1−8t〉.
Find vector and parametric equations for:
a) the line that passes through the point P(9,-9,6) parallel...
Find vector and parametric equations for:
a) the line that passes through the point P(9,-9,6) parallel to
the vector u = <3,4,-2>
b) the line passing through the point P(6,-2,6) parallel to the
line x=2t, y = 2 - 3t, z = 3 +6t
c) the line passing through the point P(5, -2,1) parallel to the
line x = 3 - t, y = -2 +4t, z = 4 + 8t
Find an equation of the line that satisfies the given
conditions. Through (5, 7); perpendicular to...
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)
(a) Find the distance between the skew lines l1 and l2 given
with the vector equations...
(a) Find the distance between the skew lines l1 and l2 given
with the vector equations l1 : r1(t) = (1+t)i+ (1+6t)j+ (2t)k; l2 :
r2(s) = (1+2s)i+ (5+15s)j+ (−2+6s)k.
(b) Determine if the plane given by the Cartesian equation −x +
2z = 0 and the line given by the parametric equations x = 5 + 8t, y
= 2 − t, z = 10 + 4t are orthogonal, parallel, or neither.
Find an equation for the plane that
(a) is perpendicular to v=(1,1,1)v=(1,1,1) and passes through
(1,0,0).(1,0,0)....
Find an equation for the plane that
(a) is perpendicular to v=(1,1,1)v=(1,1,1) and passes through
(1,0,0).(1,0,0).
(b) is perpendicular to v=(1,2,3)v=(1,2,3) and passes through
(1,1,1).(1,1,1).
(c) is perpendicular to the line
l(t)=(5,0,2)t+(3,−1,1)l(t)=(5,0,2)t+(3,−1,1) and passes through
(5,−1,0).(5,−1,0).
(d) is perpendicular to the line
l(t)=(−1,−2,3)t+(0,7,1)l(t)=(−1,−2,3)t+(0,7,1) and passes through
(2,4,−1).
Find an equation of the plane that passes through the point (-1,
-3, 1) and contains...
Find an equation of the plane that passes through the point (-1,
-3, 1) and contains the line x = -1 - 2t, y = 4t. z = 2 + t.