Question
Download Solution PDFFigure-out the distance of a point (2, 5, -3) from the plane
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Point = (2, 5, -3)
Equation of the plane :
Concept:
Equation of a plane in cartesian form can be written by putting
Formula:
The distance of a point (p, q, r) from a plane ax + by + cz = d is given by,
Solution:
Writing the equation of a plane in the cartesian form :
⇒ (xî + yĵ + zk̂).(6î - 3ĵ + 2k̂) = 6
⇒ 6x -3y + 2z = 6
Now, using distance formula -
D =
⇒ D = 15/7
Last updated on Jul 16, 2025
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