MathProblemsBank

i.10.33 Flux of the vector field

condition: Given a vector field \( \vec{a} \) and a plane \( \sigma \), intersecting the coordinate planes along a closed broken line \( K L M K \), where \( K, L, M \) are the points of intersection of the plane \( \sigma \) with the coordinate axes \( O x, O y, O z\) respectively. 1) Find the flow \( Q \) of the vector field \( \vec{a} \) through the part \( S \) of the plane \( \sigma \) cut out by the coordinate planes, towards the normal \( \vec{n} \) directed from the origin \( O(0;

-> Flux of the vector field