Question 1. For which real x, y, z
is true the equality u-v=w,
if u=(1,0,x), v=(x,-1,y), w=(3,z,-2)
?
a)x=2,y=0,z=1
b)x=-2,y∈ℝ,z=-1
c)x=-2,y=0,z=1
d)x=2,y∈ℝ,z=1
e)x=-2,y=0,z=-1
Question 2.
Determine the equation of the straight line which passes through the point [2,1] and
the intersection of lines x=s, y=5+2s, s∈ℝ and x=1+3t, y=-t, t∈ℝ.
a)3x+y-7=0
b)y-1=0
c)-x-2y+4=0
d) does not exist.
e)3x-y+5=0
Question 3.
The distance of the point A=[3,1,-2]
from the line X=[0,2,2]+t(-2,3,2), t∈ℝ is
equal to