Question 1. The vector x
which satisfies the equation 12a-2x=b-5x,
where a=(2,-6), b=(4,-9) is
a)x=(1,4)
b)x=(1,-1)
c)x=(1,-2)
d)x=(-1,-4)
e)x=(-1,2)
Question 2.
Given straight line X=[-2,-1]+t(1,3), t∈ℝ.
Determine the values of a parameter t
for which the points of the straight line are within the first quadrant.
a)t∈⟨13,∞)
b)t∈⟨2,∞)
c)t∈(-∞,13⟩
d) none t.
e)t∈⟨13,2⟩
Question 3.
The deviation of the line AB,
where A=[3,-1,8], B=[0,2,-1]
from the plane 2x-y+z-3=0 is