JEE MAIN - Physics (2022 - 25th June Morning Shift - No. 2)

$$\overrightarrow A $$ is a vector quantity such that $$|\overrightarrow A |$$ = non-zero constant. Which of the following expression is true for $$\overrightarrow A $$ ?
$$\overrightarrow A \,.\,\overrightarrow A = 0$$
$$\overrightarrow A \times \overrightarrow A < 0$$
$$\overrightarrow A \times \overrightarrow A = 0$$
$$\overrightarrow A \times \overrightarrow A > 0$$

Explanation

$$\overrightarrow A \times \overrightarrow A = A \times A \times \sin 0^\circ $$

$$ = 0$$

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