The acute angle between two non-zero vectors $\mathbf{a}$ and $\mathbf{b}$ is $\alpha$ radians

Question

The acute angle between two non-zero vectors $\mathbf{a}$ and $\mathbf{b}$ is $\alpha$ radians, and the vectors $\mathbf{b}$ and $2\mathbf{a}-\mathbf{b}$ are perpendicular. Find the value of $\alpha$ if $|\mathbf{b}| = \sqrt{2}|\mathbf{a}|$.[3]

Accepted Answer

$\alpha=\frac\pi4$ radians

2025 YIJC P2 Q1

2025 YIJC P2 Q1

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