Compute the flux of the vector field (x², - xy5), out of the rectangle with vertices (0,0), (5,0), (5,6), and (0,6)

Compute the flux of the vector field (x², - xy³), out of the rectangle with vertices (0,0), (5,0), (5,3), and (0,3)

Compute the flux of the vector field (x³, (2*, – æy³), out of the rectangle with vertices (0,0), (3,0), (3,2), and (0,2) 6

Compute the flux of the vector field (24, (6,0), (6,1), and (0,1) - Calculator -xy³), out of the rectangle with vertices (0,0),

Compute the flux of the vector field (x5, - xy), out of the rectangle with vertices (0,0), (2,0), (2,3), and (0,3) Calculator Check Answer

Find a vector orthogonal to both (-3, 2,0) and to (0, 2, 1) of the form (1,

8. (a) Show that the vectors v1 = (1, 2, 3, 4), v2 = (0, 1, 0, – 1), and v3 = (1, 3, 3, 3), form a linearly dependent set in R*. (b) Express each vector as a linear combination of the other two.

Compute the vector assigned to the points P = (1, 1) and Q = (-3, -3) by the vector field F = (-y, x). F(1, 1) = F(-3, -3) -

2- We can write the vector x = (19,–1, -) in R³ as a linear combination of the vectors x1 = (4,2, –1), x2 = (1,5,–1) and x3 = (2,-2,3), and the scalars are A:a, = -,a, = -,a, =-2 -,a2 = 5, az C: az = 5, az = -2,az B: a, = = 2 1 2 A В C

Compute the flux of the vector field