Solved Examples - The Plane - II

Deepanshu Gulyani

a year ago

sir... in question no.11 -> we considered the dr's from the intercept form.. is that right?...

Asim Anand

a year ago

We haven't considered dr's in this question. You can solve this question either by using the intercept form or the normal form.

Deepanshu Gulyani

a year ago

we considered dr's that's why we got the equation 2u+6v+6w=0... isnt it?

Asim Anand

a year ago

Oh yes! u,v,w are the dr's of the normal to the plane. I'm sorry I didn't get you in the beginning.

Deepanshu Gulyani

a year ago

that's my doubt sir... how we can consider u,v,w as dr's because that was the intercept form...

Asim Anand

a year ago

Supposing we have the equation of a plane in the intercept form as x/a + y/b + z/c = 1. In this, 1/a, 1/b and 1/c are the dr's of the normal to the plane. So all the different forms in which we can write the equation of a plane are related to each other and are not independent. We can easily convert from one form to another.

Deepanshu Gulyani

a year ago

Thank you sir :)