Q. 134.3( 3 Votes )

# Find the Cartesian equation of the plane passing through the points A(0, 0, 0) and B(3, - 1, 2) and parallel to the line

Answer :

Equation of a plane is given by:

⇒

Now as the plane is passing through (0,0,0)

⇒

⇒

also the plane is passing through (3,-1,2)

⇒ ..(1)

Given that the Plane is parallel to

⇒ ..(2)

Eliminating a,b,c from (1) and (2)

⇒

⇒ (Required equation of Plane)

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

and

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

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