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Smart Solution

​

What is the distance from

R to the line PQ?

(a few seconds only)

​

​

Musical

English Subtitle

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​

Distance between

point and line

“

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Leonardo Sembiring

leonardo.sembiring@gmail.com

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PLEASE DO NOT TRY IT AT HOME

BASIC CONCEPT IS PRECIOUS THING

JUST DO IT AT EXAM

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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

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5

Find the distance

2

Find coordinates of other point on the line and point outside of line

3

Copy both coordinates to the right and determine cross vector

4

Square the cross vector and point vector

add up

point vector

P and Q are midpoints of line segment EA and FG respectively.

R is midpoint of base of cube.

Length of sides of the cube is 2.

What is the distance from

point R to the line PQ?

1

Assuming one point on the line as origin with coordinate (0, 0, 0)

?

?

?

?

?

?

4

9

1

4

1

1

-2

?

?

?

1

+2

+1

+1

2

2

1

1

1

1

-1

-1

(0, 0, 0)

+1

2

2

2

+1

+

2

1

1

1

1

-1

3

1

2

1

P (0, 0, 0)

R

Q

Q

14

6

Distance =

=

1

2

3

cross vector

1.(-1)-1.1 = -2

1.1-2.(-1) = 3

2.1-1.1 = 1

square

=

3

+1

+1

+2

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