Question 60

Let $$\overrightarrow{a}, \overrightarrow{b}$$ and $$\overrightarrow{c}$$ be three non-coplanar unit vectors such that the angle between every pair of them is $$\frac{\pi}{3}$$. If $$\overrightarrow{a} \times \overrightarrow{b} + \overrightarrow{b} \times \overrightarrow{c} = p\overrightarrow{a} + q\overrightarrow{b} + r \overrightarrow{c},$$ where p, q and r are scalars, then the value of $$\frac{p^2 + 2q^2 + r^2}{q^2}$$ is


Correct Answer: 4


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