Find the angle between vectors r = (2i - 3j + k) + λ(i + 2k - k)

Question

Find the angle between \(\vec{r} = (2\hat{i} - 3\hat{j} + \hat{k}) + \lambda(\hat{i} + 2\hat{j} - \hat{k})\) and the plane \(\vec{r}.(2\hat{i} - \hat{j} + \hat{k}) = 4\)

Answer 1

We know that angle between the line