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- Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the equation r1(t)=r2(t) may not produce all the points where the graphs of these functions intersect. Please Provide Unique Answer. Thank you!A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v=(x-y,z+y+7,z2) and the net is decribed by the equation y=1-x2-z2, y20, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)Express the vector = + y. F 10 as a linear combination of -[-] and ÿ==
- For this problem, enter your vectors with angle-bracket notation: , not in ijk- notation. (a) F = 7xi + (8y – z2) j + (2x + 15z) k - F does not have a vector potential H, H = none (If there is no potential function, enter none for the function.) (b) F = 7xi + (8y – z?) j + (2x – 15z) k F has a vector potential + Ĥ, Ĥ = (If there is no potential function, enter none for the function.)Write the component form of the vector →PQ with points P(3,−5) and Q(−2,1).→PQ=Find the domain of the vector function.