# Vectors – Calculate area of a parallelogram – Exercise 4528

Exercise

Calculate the area of the parallelogram ABCD built on the vectors

$$\vec{a}+3\vec{b},3\vec{a}+\vec{b}$$

Given

$$|\vec{a}|=|\vec{b}|=1,\angle (\vec{a},\vec{b})=30^{\circ}$$

$$4$$