Home
Class 12
MATHS
Find the equation of plane passing throu...

Find the equation of plane passing through the point `(1, 2, 3)` and having the vector `r=2hat(i)-hat(j)+3hat(k)` normal to it.

Text Solution

Verified by Experts

The correct Answer is:
`2x-y+3z=9`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the point P(1,1,1) and containing the line vec(r) = (-3 hat(i) + hat(j) + 5 hat(k)) + lambda (3 hat(i) - hat(j) - 5 hat(k)) . Also, show that the plane contains the line vec(r) = (- hat(i) + 2 hat(j) + 5hat(k)) + mu (hat(i) - 2 hat(j) - 5 hat(k)) .

Find the equation of the line which passes through the point (1,2,3) and is parallel to the vector 3hat(i)+2hat(j)-2hat(k) .

Find the vector and Cartesian equations of the planes. That passes through the point (1, 0, -2) and the normal to the plane is hat(i)-2hat(j)+hat(k) .

Find the vector and Cartesian equations of the planes. That passes through the point (1, 4, 6) and the normal to the plane is hat(i)-2hat(j)+hat(k) .

Findt the vector equation of the plane passing through the intersection of the planes r*(2hat(i)+2hat(j)-3hat(k))=7, r*(2hat(i)+5hat(j)+3hat(k))=9 and through the point (2, 1, 3).

The magnitude of the vector 6hat(i) + 2hat(j) + 3hat(k) is ?