Question
Download Solution PDFDetermine the direction cosines of the unit vector perpendicular to the plane
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Equation of plane is
Concept:
Vector equation of a plane at a distance 'd' from the origin and unit vector to normal form origin
Formula Used:
Calculation:
We have,
⇒
⇒
Multiplying with -1 on both sides,
⇒
⇒
So,
Magnitude of
⇒
Now,
⇒
⇒
∴ Direction cosines of the unit vector perpendicular to the given plane are
Last updated on May 26, 2025
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