Two non-collinear unit vectors →a and →b are such that [→r →a →b]=74 and →r(4→a+5→b)=0. Let ∫−52→r.→b−2→r.→ax+1x2+1dx=π2, angle between →a and →b is such that |→r|2−34∣∣→a×→b∣∣2 attains maximum value, can be represented as a linear combination of →a and →b as

Two non-collinear unit vectors →a and →b are such that [→r →a

1.	Two non-collinear unit vectors →a and →b are such that [→r →a →b]=74 and →r(4→a+5→b)=0. Let ∫−52→r.→b−2→r.→ax+1x2+1dx=π2, angle between →a and →b is such that \|→r\|2−34∣∣→a×→b∣∣2 attains maximum value, can be represented as a linear combination of →a and →b as
Answer» Two non-collinear unit vectors $\to a and \to b$ are such that $[\to r \to a \to b] = \frac{7}{4} and \to r (4 \to a + 5 \to b) = 0$ . Let $\int_{- 2 \to r . \to a}^{- \frac{5}{2} \to r . \to b} \frac{x + 1}{x^{2} + 1} d x = \frac{π}{2}$ , angle between $\to a and \to b$ is such that ${\| \to r \|}^{2} - \frac{3}{4 {∣ ∣ \to a \times \to b ∣ ∣}^{2}}$ attains maximum value, can be represented as a linear combination of $\to a and \to b$ as

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