diff --git a/sweet_matrix.c b/sweet_matrix.c
index 06d293f..9de4238 100644
--- a/sweet_matrix.c
+++ b/sweet_matrix.c
@@ -245,6 +245,7 @@ sweet_matrix_look_at (vec3 pos, vec3 dir, vec3 up)
     mat4 t;
     vec3 cross;
     cross = sweet_vector_cross (up, dir);
+    cross = sweet_vector_normalize3 (cross);
 
     m.v[0] = cross.x;
     m.v[1] = up.x;