Mathematics Part-II

Book: Mathematics Part-II

Chapter: 11. Three Dimensional Geometry

Subject: Maths - Class 12th

Q. No. 7 of Miscellaneous Exercise

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7

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane .

The vector equation of a line passing through a point with position vector and parallel to vector is


Given, the line passes through (1,2,3)


So,


Finding normal of plane






Comparing with ,



Since line is perpendicular to plane, the line will be parallel of the plane



Hence,




This is the required vector equation of line.


7

Chapter Exercises

More Exercise Questions

6

If the lines and are perpendicular, find the value of k.