Question

Find the vector equation of the line passing through the point having position vector -2i + j + k and parallel to vector 4i - j + 2k.

Answer 1

The vector equation of the line passing through A(\(\bar{a}\)) and parallel to the vector \(\bar{b}\) is \(\bar{r}\) = \(\bar{a} + \lambda \bar{b},\) where λ is a scalar.

∴ the vector equation of the line passing through the point having position vector \(-2\hat{i} + \hat{j} + \hat{k}\) and parallel to the vector \(4\hat{i} - \hat{j} + 2\hat{k}\) is