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Find the equation of line which passes through the point (1, 2, 3) and is parallel to the vector 3i^+2j^-2k^ -

Find the equation of line which passes through the point (1, 2, 3) and is parallel to the vector `3hati + 2hatj - 2hatk`

MCQ

`(hati + 2hatj - 3hatk) + lambda(3hati + 2hatj - 2hatk)`

Explanation:

Equation of the line passing through the point `veca` and parallel to vector `vecb` is `vecr = veca + lambda vecb`

Here, `veca = hati + 2hatj + 3hatk, vecb = 3hati + 2hatj + 2hatk`

∴ Equation of the required line is `vecr = (hati + 2hatj + 3hatk) + lambda(3hati + 2hatj + 2hatk), lambda` ER

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