Find the vector equation of the line passing through `(1,2,3)` and parallel to the planes ` vec r.( hat i- hat j+2 hat k)=5a n d vec r.(3 hat i+ hat j+ hat k)=6.`

Explanation

Let the required line be parallel to `vecb`
is given by,


`vecr = b_1 hat i +b_2 hat j + b_3 hatk`


The position vector of the point (1,2,3) is
`veca = hat i +2 hat j+3 hat k`


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