a) They're perpendicular because of opposite slope: d1 has slope 3/2 and d2 has slope -2/3
b) 3x+2y-11=0
c) r = (5,-2)+t(2,3)
So what didn't make sense to me is how in the vector equation (c) the slope is 3/2 but in b the slope is -3/2 yet they're the same line. Did I do something wrong?