Advertisement Remove all ads

Write the vector equation of the plane, passing through the point (a, b, c) and parallel to the plane - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Write the vector equation of the plane, passing through the point (a, b, c) and parallel to the plane `vec r.(hati+hatj+hatk)=2`

Advertisement Remove all ads

Solution

The direction ratios of normal to the given plane `vec r.(hati+hatj+hatk)=2` are <1,1,1>

Therefore, the direction ratios of normal to the required plane are <1, 1, 1>.

So, the Cartesian equation of plane passing through (a, b, c) and having direction ratios <1, 1, 1> is 

1(xa)+1(yb)+1(zc)=0

x+y+z=a+b+c

The vector equation of the required plane is `vec r.(hati+hatj+hatk)=a+b+c`

Concept: Vector and Cartesian Equation of a Plane
  Is there an error in this question or solution?
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×