A parallelogram is constructed on 5→a+2→b and →a−3→b where |→a|=2√2, |→b|=3 and the angle between →a and →b is π4. If the magnitude of the longer diagonal is √αβγ where αβγ is three digit number then (β−α−γ) is

A parallelogram is constructed on 5→a+2→b and →a−3→b where

1.	A parallelogram is constructed on 5→a+2→b and →a−3→b where \|→a\|=2√2, \|→b\|=3 and the angle between →a and →b is π4. If the magnitude of the longer diagonal is √αβγ where αβγ is three digit number then (β−α−γ) is
Answer» A parallelogram is constructed on $5 \to a + 2 \to b$ and $\to a - 3 \to b$ where $\| \to a \| = 2 \sqrt{2}$ , $\| \to b \| = 3$ and the angle between $\to a$ and $\to b$ is $\frac{π}{4}$ . If the magnitude of the longer diagonal is $\sqrt{α β γ}$ where $α β γ$ is three digit number then $(β - α - γ)$ is