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Find the equation of the plane which contains the line of inte

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Find the equation of the plane which contains the line of intersection of the planes $x + 2 y + 3 z 4 = 0$ and $2 x + y z + 5 = 0$ and whose $x -$ intercept is twice its z-intercept.Hence write the vector equation of a plane passing through the point $(2, 3, 1)$ and parallel to the plane obtained above.

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Jack Discussed

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

x + 2 y + 3 z 4 = 0

and

2 x + y z + 5 = 0

and whose

x -

intercept is twice its z-intercept.Hence write the vector equation of a plane passing through the point

(2, 3, 1)

and parallel to the plane obtained above.

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Question Text

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

x + 2 y + 3 z 4 = 0

and

2 x + y z + 5 = 0

and whose

x -

intercept is twice its z-intercept.Hence write the vector equation of a plane passing through the point

(2, 3, 1)

and parallel to the plane obtained above.

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