Let →a and →b are two non-zero, non-collinear vectors (|→a|=1) such that vectors 3(→a×→b) and 2(→b−(→a.→b)→a) represents two sides of a triangle. If area of triangle is 34(|→b|4+4) then the value of |→b|2 is

Let →a and →b are two non-zero, non-collinear vectors (|→a|=1) s

1.	Let →a and →b are two non-zero, non-collinear vectors (\|→a\|=1) such that vectors 3(→a×→b) and 2(→b−(→a.→b)→a) represents two sides of a triangle. If area of triangle is 34(\|→b\|4+4) then the value of \|→b\|2 is
Answer» Let $\to a$ and $\to b$ are two non-zero, non-collinear vectors $(\| \to a \| = 1)$ such that vectors $3 (\to a \times \to b)$ and $2 (\to b - (\to a . \to b) \to a)$ represents two sides of a triangle. If area of triangle is $\frac{3}{4} (\| \to b \|^{4} + 4)$ then the value of $\| \to b \|^{2}$ is