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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!Write the component form of the vector →PQ with points P(3,−5) and Q(−2,1).→PQ=Calculate the velocity and acceleration vectors and the speed of r(t) = (6+²₁² ²1 1 > at the time t = 4. 6+1² (Use symbolic notation and fractions where needed. Give your answer in the vector form.) v(4) = a(4) = Calculate the speed of r(t) at the time t = 4. (Use symbolic notation and fractions where needed.) v(4) =
- Let x = [ -5, 5 ] and y = [ 5, -2 ]. Find the vector v = 6x - 5y and its additive inverseDetermine the tail of the vector whose head is (3, −2, 2).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.)