Let →a,→b and →c be three vectors such that →a=→b×(→b×→c). If magnitudes of the vectors →a,→b and →c are √2,1 and 2 respectively and the angle between →b and →c is θ(0<θ<π2), then the value of 1+tanθ is equal to

Let →a,→b and →c be three vectors such that →a=→b×(→b×�

1.	Let →a,→b and →c be three vectors such that →a=→b×(→b×→c). If magnitudes of the vectors →a,→b and →c are √2,1 and 2 respectively and the angle between →b and →c is θ(0<θ<π2), then the value of 1+tanθ is equal to
Answer» Let $\to a, \to b$ and $\to c$ be three vectors such that $\to a = \to b \times (\to b \times \to c)$ . If magnitudes of the vectors $\to a, \to b$ and $\to c$ are $\sqrt{2}, 1$ and $2$ respectively and the angle between $\to b$ and $\to c$ is $θ (0 < θ < \frac{π}{2})$ , then the value of $1 + tan θ$ is equal to