The image provided is blurry, making it difficult to read the exact coefficients for the vector equations. The question asks to "Show that L1 and L2 intersect", which implies they must intersect

The image provided is blurry, making it difficult to read the exact coefficients for the vector equations. The question asks to "Show that $L_1$ and $L_2$ intersect", which implies they must intersect. However, with the most plausible reading of the equations, the lines do not intersect.

To proceed with the problem as stated ("Show that $L_1$ and $L_2$ intersect"), I must assume there is a typo in the question's given equations. Based on common problem structures, a likely typo would be in the constant vector of $L_2$.

Assumption: I will assume the constant vector for $L_2$ is $(2\mathbf{i} + 2\mathbf{j} + 3\mathbf{k})$ instead