Find the equation of the plane passing through the intersection of the planes ` -> rdot( hat i+ hat j+ hat k)=1\ a n d\ -> rdot(2 hat i+3 hat j- hat k)+4=0` and parallel to x-axis.

Explanation

Let
`r=x^i+y^j+z^k`


Required Equation of Plane


`(r.(^i+^j+k^)−1)+λ(r.(2^i+3^j−^k)+4)=0`


⟹`x+y+z−1+λ(2x+3y−z+4)=0`

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