Question

Angle between $\overline{a}$ & $\overline{b}$ is $\frac{\pi }{4};\left|\overline{a}\right|=2\sqrt{2},\left|\overline{b}\right|=3$. Length of longer diagonal of the parallelogram having adjacent sides represented by $5\overline{a}+2\overline{b}$ and $\overline{a}-3\overline{b}$ is

• A. $\sqrt{593}$
• B. $\sqrt{26}$
• C. $15$
• D. $25$

Answer 1

Answer: (A)

$\sqrt{593}$

Angle between a¯¯¯a¯ & b¯¯b¯ is π4; |a¯¯¯|=22√, ∣∣b¯¯∣∣=3π4; |a¯|=22, |b¯|=3. Length of longer diagonal of the parallelogram having adjacent sides represented by 5a¯¯¯+2b¯¯5a¯+2b¯ and a¯¯¯−3b¯¯a¯−3b¯ is

The correct option is A, that is √593