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Question
Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes `vecr = (hati - hatj + 2hatk) = 5`and `vecr.(3hati + hatj + hatk) = 6`
Solution
Let the required line be parallel to vector `vecb` given by,
`vecb = b_1hati + b_2hatj + b_3hatk`
The position vector of the point (1, 2, 3) is `veca = hati + 2hatj + 3hatk`
The equation of line passing through (1, 2, 3) and parallel to `vecb`is given by,
This is the equation of the required line.
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