3.1.1 If V(x, y,z)= x²zî + 2y°z*(-j)+xy²zk, find Vo V or divVat the point (1, -1, 1). 3.1.2 Tell what do Vo V tell you about the divergence of V at the point (1, -1, 1). 3.2 Determine the constant a so that the vector V(x, y,z)= (x+3y)î+ (y - 2zj +(x+az )k is solenoidal. A vector V is solenoidal if its divergence is zero.
3.1.1 If V(x, y,z)= x²zî + 2y°z*(-j)+xy²zk, find Vo V or divVat the point (1, -1, 1). 3.1.2 Tell what do Vo V tell you about the divergence of V at the point (1, -1, 1). 3.2 Determine the constant a so that the vector V(x, y,z)= (x+3y)î+ (y - 2zj +(x+az )k is solenoidal. A vector V is solenoidal if its divergence is zero.
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Transcribed Image Text:3.1.1 If V(x, y,z)= x²zî+ 2y°z*(-j)+xy²zk, find Vo V or divV at the point (1, -1, 1).
3.1.2 Tell what do Vo V tell you about the divergence of V at the point (1, -1, 1).
3.2 Determine the constant a so that the vector V(x, y,z)= (x+3y)i + (y - 2zj +(x+az)k is
solenoidal. A vector V is solenoidal if its divergence is zero.
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