A) write the line through p=(2,3,−2) in the direction of v¯=< −5,−4,−3> in vector parametric form:

b) find the parametric and symmetric equations for the line passing through the points p1=(2,2,3) and p2=(1,3,−1) .

parametric: x(t)=

y(t)=

z(t)=

symmetric:

(quotient involving x ) =

(quotient involving y) =

(quotient involving z ) =

c) find the parametric and symmetric equations for the line passing through the point (1,0,−4) and parallel to the linex=−2+3t, y=4+t, z=2+2t.

parametric: x(t)=

y(t)=

z(t)=

symmetric:

(quotient involving x ) =

(quotient involving y) =

(quotient involving z ) =

d) consider the two lines
l1: x=−2t, y=1+2t, z=3t and
l2: x=−8+4s, y=4+1s, z=1+5s

find the point of intersection of the two lines.

e) find the intersection of the lines r(t)=< −1−2t,17+6t,17+8t> and r(s)=< −10+7s,12−5s, s−5> . write your answer as a point (a, b,c) where a, b, and c are numbers.