( 709, #33)
(a) Let P be a point not on the
line L that passes through the points Q and R.
Show that the distance d from the point P
to the line L is
where
.
(b) Use the formula in part (a) to find the distance from the point P(1, 1, 1 )
to the line through Q ( 0, 6, 8 ) and R (-1,4,7).
Solution:
(a)
(b)
a = < -1 - 0, 4 - 6, 7 - 8 > = < -1, -2, -1 >
b = < 1 - 0, 1 - 6, 1 - 8 > = < 1, -5, -7 >
by: nl