shaalaa.com
S

Solution - Parametric Form of the Equation of the Plane r=(2i+k)+λi+μ(i+2j+k) λ And μ Are Parameters. Find Normal to the Plane and Hence Equation of the Plane in Normal Form. Write Its Cartesian Form. - Vector and Cartesian Equation of a Plane

Account
User


Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Question

Parametric form of the equation of the plane is `bar r=(2hati+hatk)+lambdahati+mu(hat i+2hatj+hatk)` λ and μ are parameters. Find normal to the plane and hence equation of the plane in normal form. Write its Cartesian form.

Solution

You need to to view the solution
Is there an error in this question or solution?

Appears in these question papers

Similar questions VIEW ALL

Find the vector equation of the plane which is at a distance of 5 units from the origin and which is normal to the vector  `2hati + hatj + 2hatk.`

view solution

Find the vector equation of the plane passing through three points with position vectors ` hati+hatj-2hatk , 2hati-hatj+hatk and hati+2hatj+hatk` . Also find the coordinates of the point of intersection of this plane and the line `vecr=3hati-hatj-hatk lambda +(2hati-2hatj+hatk)`

 

view solution

Find the vector equation of the plane passing through a point having position vector `3 hat i- 2 hat j + hat k` and perpendicular to the vector `4 hat i + 3 hat j + 2 hat k`

 
view solution

Find the vector equation of the plane with intercepts 3, –4 and 2 on x, y and z-axis respectively.

view solution

Find the vector equation of the plane which contains the line of intersection of the planes `` and which is perpendicular to the plane.`vecr(5hati+3hatj-6hatk)+8=0`

view solution
Solution for question: Parametric Form of the Equation of the Plane r=(2i+k)+λi+μ(i+2j+k) λ And μ Are Parameters. Find Normal to the Plane and Hence Equation of the Plane in Normal Form. Write Its Cartesian Form. concept: Vector and Cartesian Equation of a Plane. For the courses 12th HSC Arts, 12th HSC Science (Computer Science), 12th HSC Science (Electronics), 12th HSC Science (General)
S