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Collinear Vectors

If a⃗×b⃗ is d...

Question

If $\to a \times \to b$ is defined as $| \to a | ∣ ∣ \to b ∣ ∣$ $sin θ$ where $θ$ is the angle between $\to a$ and $\to b$ and it is given that $\to a$ and $\to b$ are collinear vectors, then $\to a \times \to b$ =;___

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Solution

Two collinear vectors either have same direction or opposite directions. So the angle between them is either 0 or $180^{\circ}$ .
So $\to a \times \to b = | \to a | ∣ ∣ \to b ∣ ∣$ $sin 0^{\circ} = 0$ .
or $| \to a | ∣ ∣ \to b ∣ ∣$ $sin 180^{\circ} = 0$ .

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