If the magnitude of the vector product of two vectors is negative, then the angle between them has the range

0 \leq θ < 90^{\circ}

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90 \leq θ < 180^{\circ}

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180 < θ < 360^{\circ}

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None of these

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Solution

The correct option is C $180 < θ < 360^{\circ}$
Magnitude of vector product is negative for $180^{\circ} < θ < 360^{\circ}$ , as in this range, $sin θ$ is negative

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Choose the correct answer
Let a and b be two unit vectors and $θ$ is the angle between them. Then, a + b is a unit vector, if

a) $θ = \frac{π}{4}$
b) $θ = \frac{π}{3}$
c) $θ = \frac{π}{2}$
d) $θ = \frac{2 π}{3}$

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