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Perpendicular distance from a point to a line (Vector)

Perpendicular distance from a point to a line (Question)

  1. Determine the shortest distance between a point A (3,5,3) to the line of r = 11i -1j – 3k + λ (i – j + 2k).

 

Guide:

Angle between two lines

cos x = a.b/(|a||b|)
a.b is the scalar product of two vector
If a is perpendicular to b, then cos x = 0.
Eventually, a.b = 0

Perpendicular distance from a point to a line (Answer)

  1. 11.81

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O-level Math & JC Math Tuition Singapore - Perpendicular distance from a point to a line (Vector)
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