Q.The plane passing through the line of intersection of the planes $x + y + z = 1$ and $2x + 3y + z = 2$ and parallel to the line $\vec{r} = \hat{i} + \hat{j} + \hat{k}$ has equation

x - 4y + 3z = 1

x + 4y + 3z = 1

5x + 2y + 4z = 1

5x - 2y + 4z = 1

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.The plane passing through the line of intersection of the planes x+y+z=1x + y + z = 1x+y+z=1 and 2x+3y+z=22x + 3y + z = 22x+3y+z=2 and parallel to the line r⃗=i^+j^+k^\vec{r} = \hat{i} + \hat{j} + \hat{k}r=i^+j^​+k^ has equation