Smart Solution
What is the distance between
two skew lines?
(a few seconds only)
Musical
English Subtitle
Distance between
two skew lines
“
Leonardo Sembiring
leonardo.sembiring@gmail.com
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BASIC CONCEPT IS PRECIOUS THING
JUST DO IT AT EXAM
How to determine the coordinates from origin? Please use the following rules.
X+
X-
Z+
Z-
Y+
Y-
UNDER
LEFT
ABOVE
BACK
FRONT
RIGHT
3
1
2
?
?
?
multiply
6
Find the distance
1
Assuming one point in each line as origin with coordinate (0, 0, 0)
4
Copy coordinates of points to the right and determine plane vector
2
Find coordinate of other point in each line other than origin
5
Square the plane vector and sum products of both vectors
P and Q are midpoints of line segment EA and FG respectively.
What is the distance between lines PQ and RH?
0
2
2
2
-2
-1
-1
+2
(0, 0, 0)
-1
+1
-1
-2
Length of sides of the cube is 2.
+
2
-2
-1
-1
-1
1
2
-2
-1
-1
-1
1
2
-1
5
-3
-1
0
-2
1
25
9
1
0
6
R (0, 0, 0)
H
P
R
7
35
Distance =
=
7
?
?
?
?
?
?
plane vector
point vector
(-1).2-(-1).1 = -1
(-2).1-(-1).(-1) = -3
(-1).(-1)-(-2).2 = 5
1
2
3
square
R is the midpoint of base of cubic ABCD.
3
Find coordinate between origins relatively to each other
Q (0, 0, 0)
(0, 0, 0)
add up
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