5. (a) Given A = a,5-ay2 + a₂, find the expression of a unit vector of B such that B/A and BL A, if B lies in the xy-plane. (b) Write the expression of the vector going from point P₁ (1, 3, 2) to point P2 (3, -2, 4) in Cartesian coordinates. What is the length of this line?

4(2). Please show your calculations & explain steps by steps. Determines the vector equation: A) from the line in R2 that goes through the points (3, -6) and (0, -1). B) of the plan in R3 that contains the points (-6, 1, 0), (4, -3, 5) ret (-7, -2, -4).

A line contains the points P=(−6,−2,−3)P=(-6,-2,-3) and Q=(−4,−3,−6)Q=(-4,-3,-6). A vector equation of this line is →x=−−→OP+t−−→PQx→=OP→+tPQ→, where OO is the origin.If t=2t=2, what point does this give us from the equation?