$\"\"$

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The plane passes through the origin and the points $\"\"$ and $\"\"$ .

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Since the plane passes through the origin the points are $\"\"$ and $\"\"$ .

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If $\"\"$ and $\"\"$ are two points , then vector represented by $\"\"$ is $\"\"$ .

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$\"\"$

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The vectors corresponding to the $\"\"$ and $\"\"$ are \ \

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$\"\"$

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Since $\"\"$ and $\"\"$ lie in the same plane ,the cross product is orthogonal to the that plane and it can be represented as normal vector $\"\"$ .

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$\"\"$

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$\"\"$

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Vector equation of the plane $\"\"$ with the point $\"\"$ and normal vector $\"\"$ is $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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Substitute above values in vector equation formula.

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$\"\"$

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The equation of the plane is $\"\"$ .

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$\"\"$

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The equation of the plane is $\"\"$ .