Question 52

In a triangle ๐‘ƒ๐‘„๐‘…, let $$\overrightarrow{a} = \overrightarrow{QR}, \overrightarrow{b} = \overrightarrow{RP}$$ and $$\overrightarrow{c} = \overrightarrow{PQ}$$. If

$$|\overrightarrow{a}| = 3, |\overrightarrow{b}| = 4$$ and $$\frac{\overrightarrow{a}\cdot(\overrightarrow{c}-\overrightarrow{b})}{\overrightarrow{c}\cdot(\overrightarrow{a}-\overrightarrow{b})} = \frac{|\overrightarrow{a}|}{|\overrightarrow{a}| + |\overrightarrow{b}|}$$,

then the value of $$\left|\overrightarrow{a} \times \overrightarrow{b}\right|^{2}$$ is ___________


Correct Answer: e


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