Line and Plane Intersection in 3D
Interactive visualization for JEE/NEET - Adjust parameters to explore geometry
Governing Equations
r
=
a
+ t
b
(Line)
n
.(
r
-
r
0
) = 0
(Plane)
sin(
θ
) = |
n
.
b
| / |
n
||
b
|
d = |ax+by+cz+d| /
√(a²+b²+c²)
Live Calculations
Intersection Point
(0, 0, 0)
Parameter t
0.00
Line-Plane Angle
0.00 deg
sin(theta)
0.00
Point-Plane Dist
0.00 units
Line r = a + tb
Plane n.(r-r0) = 0
Normal Vector n
Intersection Point
Line Direction Vector b
b
x
1.0
b
y
1.0
b
z
1.0
Plane Normal Vector n
n
x
0.0
n
y
1.0
n
z
0.0
Plane Parameters
Plane offset d
0.0
Line origin a
z
-3.0
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