计算下列向量场的指定点的散度:
(1)A∣(1,1,3)={4x,-2xy,z2}∣(1,1,3);
(2)A∣(2,1,-2)={xy,yz,zx}∣(2,1,-2)
(1)divA∣(1,1,3) =(4-2x+2z)∣(1,1,3) =8 (2)divA∣(2,1,-2) =(y+z+x)∣(2,1,-2) =1
计算下列向量场的指定点的散度:
(1)A∣(1,1,3)={4x,-2xy,z2}∣(1,1,3);
(2)A∣(2,1,-2)={xy,yz,zx}∣(2,1,-2)
(1)divA∣(1,1,3) =(4-2x+2z)∣(1,1,3) =8 (2)divA∣(2,1,-2) =(y+z+x)∣(2,1,-2) =1