Let a = 4, b = -3, and c = 5. Also, the vector field V =(−4x−3y+az)i + (bx+3y+5z)j + (4x+cy+3z)k. For those values a, b, c, find a function f: R3 → R so that V = ∇f.
Let a = 4, b = -3, and c = 5. Also, the vector field V =(−4x−3y+az)i + (bx+3y+5z)j + (4x+cy+3z)k. For those values a, b, c, find a function f: R3 → R so that V = ∇f.
Let a = 4, b = -3, and c = 5. Also, the vector field V =(−4x−3y+az)i + (bx+3y+5z)j + (4x+cy+3z)k. For those values a, b, c, find a function f: R3 → R so that V = ∇f.
Let a = 4, b = -3, and c = 5. Also, the vector field V =(−4x−3y+az)i + (bx+3y+5z)j + (4x+cy+3z)k.
For those values a, b, c, find a function f: R3→ R so that V = ∇f.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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