Let\ be a plane in

R^(3)

. Let\

W:x-y-2z=18

\ and\

l_(1):(2x-4)/(3)=(y+1)/(-1)=(4-3z)/(1)

\ be two lines in

R^(3)

\

l_(2):(:x,yz:)=(:1+t,2-3t,-1+2t:)

\ (a) A normal vector for

W

is .\ (b) A direction vector for

l_(1)

is .\ (c) A direction vector for

l_(2)

is .\ (d) A parametric equation of the line

l_(3)

that is perpendicular to the plane

W

and intersecting with the line

l_(2)

at a point

B(2,-1,1)

is\

x=

\

y=

\

z=

\ (e)

l_(1)

and

l_(2)

are\ (write the true one of "intersecting at a point", "parallel", "skew lines")\ (f) An equation of the plane

W_(1)

containing

l_(2)

and parallel to

l_(1)

is\

W_(1):

\ (g) The distance between

l_(2)

and

W

is

be a plane in R3. Let W:xy2z=18 and 1:32x4=1y+1=143z be two lines in R3 2:x,yz=1+t,23t,1+2t (a) A normal vector for W is n=..,.......... (c) A direction vector for 2 is u2= (.....................) (d) A parametric equation of the line 3 that is perpendicular to the plane W and intersecting with the line 2 at a point B(2,1,1) is x=y=z= (e) 1 and 2 are (write the true one of "intersecting at a point", "parallel", "skew lines") (f) An equation of the plane W1 containing 2 and parallel to 1 is W1: (g) The distance between " 2 and W is