Referred to the origin $O$, the position vectors of three point $A, B$ and $P$ are \(\mathbf{a

Question

Referred to the origin $O$, the position vectors of three point $A, B$ and $P$ are $\mathbf{a}$, $\mathbf{b}$ and $\mathbf{a}+5\mathbf{b}$ respectively. Given that $\mathbf{b}$ is a unit vector, the angle $AOB$ is $60{}^\circ $and $AB$ is perpendicular to $OP$, find exact value of $\left| \mathbf{a} \right|$.[4]

Accepted Answer

(a) $|a| = \sqrt 6 - 1$

2012 HCI P2 Q4

2012 HCI P2 Q4

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