taiwan-gsat 2025 Q12

taiwan-gsat · Other · ast__math-b 6 marks Vectors Introduction & 2D Dot Product Computation
On a plane, there are three non-collinear points $A, B, C$. Given that the dot product of vectors $\overrightarrow { A B }$ and $\overrightarrow { A C }$ is 16, the dot product of $\overrightarrow { C B }$ and $\overrightarrow { A C }$ is 3, then $\overline { A C } = \sqrt{\text{(12--1)}}$ (12–2). (Simplify to simplest radical form) 
On a plane, there are three non-collinear points $A, B, C$. Given that the dot product of vectors $\overrightarrow { A B }$ and $\overrightarrow { A C }$ is 16, the dot product of $\overrightarrow { C B }$ and $\overrightarrow { A C }$ is 3, then $\overline { A C } = \sqrt{\text{(12--1)}}$ (12–2). (Simplify to simplest radical form)
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