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Area of a parallelogram from vector combinations

High school · ●●○○○ 20 pts

Calculate the area of the parallelogram constructed on the vectors a⃗=3p⃗+2q⃗\vec{a}=3\vec{p}+2\vec{q} and b⃗=2p⃗−q⃗\vec{b}=2\vec{p}-\vec{q}, given that ∣p⃗∣=4|\vec{p}|=4, ∣q⃗∣=3|\vec{q}|=3 and the angle between p⃗\vec{p} and q⃗\vec{q} is 3π4\frac{3\pi}{4}. Round to two decimal places.

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