1. Given the vector field v = 5ˆi, calculate the vector flow
through a 2m area with a normal vector
•n = (0,1)
•n = (1,1)
•n = (. 5,2)
•n = (1,0)
2. Given the vector field of the form v (x, y, z) = (2x, y, 0)
Calculate the flow through an area of area 1m placed at the
origin and parallel to the yz plane.
3. Given a vector field as follows v = (1, 2, 3).
• Calculate the field flow through a side 1 cube (oriented as you
wish).
• Assume that the previous cube is missing one of its faces (the
one you want), in that case, how much will be the total flow
through it.
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