​ Find m, if line vector r = i + λ (2i - mj - 3k)

Question

Find m, if line \(\vec{r} = \hat{i} + \lambda(2\hat{i} - m\hat{j} - 3\hat{k})\) is parallel to the plane \(\vec{r}.(m\hat{i} + 3\hat{j} + \hat{k}) = 4.\)

Answer 1

If given line is parallel to given plane