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Find the vector and cartesion equations ...

Find the vector and cartesion equations of a plane containing the two lines `vec r=2hatj+hatj-3hatk+lambda(hati+2hatj+5hatk)` and `vec r=3hati+3hatj+2hatk+mu(3hati-2hatj+5hatk)`.Also show that the line `vec r=2hati+5hatj+2hatk+p(3hati-2hatj+5hatk)` lies in the plane.

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The correct Answer is:
`vec r.(10hati+5hatj-4hatk=37` and `10x+5y-4z=37`
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