I. 10.18 Flux of the Vector Field

Condition: let \ (\ sigma \) - part of the plane \ (p \), limited by coordinate planes, a \ (\ sigma_ {0} - \) the full surface of the pyramid obtained by the intersection of the plane \ (p \) and coordinate axes. Calculate: a) the field of field \ (\ vec {f} \) through the surface \ (\ sigma \), b) the field of the field \ (\ vec {f} \) through the surface \ (\ sigma_} \) directly, the field of field \ (\ vec} \) through the surface \ ( \ sigma_ {0} \) according to the Gaussaostogradsky formula, \ [\ vec {f} = (2 x+5 y+2 z) \ cdot \ vec {k}, \ quad p: x+y+3 z-6 = 0 \]