First slide

Algebra of vectors

Question

If $| \vec{a} + \vec{b} | < | \vec{a} - \vec{b} |$ then the angle between $\vec{a} and \vec{b}$ can lie in the interval

Moderate

A

$(- π / 2, π / 2)$
B

$(0, π)$
C

$(π / 2, 3 π / 2)$
D

$(0, 2 π)$

Solution

$\begin{array}{l} | \vec{a} + \vec{b} | < | \vec{a} - \vec{b} | \\ \Rightarrow \frac{π}{2} < θ < \frac{3 π}{2} \end{array}$

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