The plane passing through the three points A(4, –3, –4), B(-4, –3,2) and C(-3,3, –2) can be expressed as a parametric vector equation of the form x = a+A1v1+12v2 where A1 and 2 are real parameters. You are given that 8 v1 = Find suitable vectors a and vý and enter them in the boxes below. () 1. You must enter your answers using Maple notation, for example, the vector is entered as <1, 2, 3>. 3 a = v2 =

Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) P(-9, -2, -1), Q(−4, −8, −9) r(t) = Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list of equations.) Your answer cannot be understood or graded. More Information

Give the vector equation of the plane passing through P, Q, and R. P = (8, 8, 8), Q = (4, 0, 2), R = (0, 1, -1) 8 0-0-0- y = + S 8 Z -4 -6 + t

Given the two points A(1,2,3) and B(2,-3,4) which of the following is the vector equation passing through these two points? (2, – 3, 4) + t(1, 2, 3) - OT (1, 2, 3) + t(3, – 1, 7) - OT = (0, 7, 2) + t(1, – 5, 1) OT = (3, – 1, 7) + t(1, – 5, 1) 6.