Cross Product

Identify Orientation: Parallel vectors have an angle $θ = 0^{\circ}$ (same direction) or $18 0^{\circ}$ (opposite direction).
Check Magnitude: $∣ a \times b ∣ = ∣ a ∣∣ b ∣ sin θ$ .
Trig Property: $sin 0^{\circ} = 0$ and $sin 18 0^{\circ} = 0$ .
Result: The magnitude is zero, therefore the result is the Zero Vector ( $0$ ).

This easy difficulty mathematics question is from the chapter vector algebra, covering the topic of cross product. It appeared in the 2025 exam.

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Cross Product

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Solution

The magnitude of cross product of two vectors $a$ and $b$ is