shaalaa.com
S

Solution - 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

Find the equation of the plane which contains the line of intersection of the planes

`vecr.(hati-2hatj+3hatk)-4=0" and"`

`vecr.(-2hati+hatj+hatk)+5=0`

and whose intercept on x-axis is equal to that of on y-axis.

Solution

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

Similar questions VIEW ALL

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.

view solution

Find the vector equation of the plane passing through the points `hati +hatj-2hatk, hati+2hatj+hatk,2hati-hatj+hatk`. Hence find the cartesian equation of the plane.

view solution

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

view solution

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

view solution

Reference Material

Solution for concept: Vector and Cartesian Equation of a Plane. For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science)
S