(a) Let P be a point not on the line L that passes through the points Q...

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(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

d = |a x b|/|a|

where a = QR and b = QP.

(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).

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