Engineering
Mathematics
Distance from a Plane
Equation of Straight Line in 3D and Distance Of a Point From Line
Question

The distance of the point having position vector −i^ + 2j^ + 6k^ from the straight line passing through the point (2, 3, – 4) and parallel to the vector, 6i^ + 3j^ − 4k^ is

6

213

7

43

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Solution

AD=|AP→. n→|n→||=61

⇒PD=AP2−AD2=110−61=7