For what value of the constant b is the vector field $\mathbf { F } = b x y \mathbf { i } + x ^ { 2 } y \mathbf { j }$ irrotational?
A) $0$
B) $\frac { 1 } { 4 }$
C)$\frac { 1 } { 2 }$
D) $\frac { 3 } { 4 }$
E) $1$
F) $\frac { 5 } { 4 }$
G) $\frac { 3 } { 2 }$
H)No constant

Question

For what value of the constant b is the vector field $\mathbf { F } = b x y \mathbf { i } + x ^ { 2 } y \mathbf { j }$ irrotational?
A) $0$ 
B) $\frac { 1 } { 4 }$ 
C)$\frac { 1 } { 2 }$ 
D) $\frac { 3 } { 4 }$ 
E) $1$ 
F) $\frac { 5 } { 4 }$ 
G) $\frac { 3 } { 2 }$
H)No constant

Quizplus · Accepted Answer

The Answer of For what value of the constant b is the vector field $\mathbf { F } = b x y \mathbf { i } + x ^ { 2 } y \mathbf { j }$ irrotational?
A) $0$ 
B) $\frac { 1 } { 4 }$ 
C)$\frac { 1 } { 2 }$ 
D) $\frac { 3 } { 4 }$ 
E) $1$ 
F) $\frac { 5 } { 4 }$ 
G) $\frac { 3 } { 2 }$
H)No constant

For What Value of the Constant B Is the Vector F=bxyi+x2yj\mathbf { F } = b x y \mathbf { i } + x ^ { 2 } y \mathbf { j }F=bxyi+x2yj

For What Value of the Constant B Is the Vector $\mathbf { F } = b x y \mathbf { i } + x ^ { 2 } y \mathbf { j }$