JEE Physics Practice Question

$$\overrightarrow A $$ is a vector quantity such that $$|\overrightarrow A |$$ = non-zero constant. Which of the following expression is true for $$\overrightarrow A $$ ?

1. A.$$\overrightarrow A \,.\,\overrightarrow A = 0$$
2. B.$$\overrightarrow A \times \overrightarrow A < 0$$
3. C.$$\overrightarrow A \times \overrightarrow A = 0$$
4. D.$$\overrightarrow A \times \overrightarrow A > 0$$