Straight line
Equation of straight line going
through two different points.
Parametric equation of straight
line.
Equation of intersection line of
two planes.
Parallelism condition of
straight lines.
Perpendicularity condition of
straight lines.
Angle between straight lines.
Angle between straight line and
plane.
An equation of straight line
going through two different points
(
õ_{1},
ó_{ 1},
z_{
1}
) and
(
õ_{2},
ó_{
2
},
z_{
2}
):
A parametric equation of
straight line, going
through a point ( õ_{0
},
ó_{ 0}
, z_{
0}
)
and
parallel to a direction vector (
a,
b,
ñ
)
of a
straight line:
Let two planes Àõ+
Âó+
Ñz+
D
=
0
and Eõ+
Fó+
Gz+
H
=
0
be given, moreover, their
normal vectors aren't collinear, then the set of simultaneous equations
describes an intersection line
of these planes.
Let (
a,
b, ñ
) and (
p,
q, r
) be direction vectors of two straight lines, then
a parallelism condition of straight
lines is :
aq
– bp = br – cq = ar – cp = 0 ,
a perpendicularity condition
of straight lines is
:
ap
+ bq + cr = 0 ,
an
angle
between straight lines:
an
angle
between a straight line and a plane:
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