Which of the following is the normal vector to the plane z = 0?
A n = (1, 1, 0)
B n = (1, 0, 0)
C n = (0, 1, 0)
D n = (0, 0, 1)
Which equation is the vector form of the line with parametric equation x = t + 3, y = 5t - 3, t ∈ R?
A r = (-3, 3) + s(5, 1), s ∈ R
B r = (4, 2) + s(1, 5), s ∈ R
C r = (1, -13) + s(5, 1), s ∈ R
D r = (-3, 3) + s(1, 5), s ∈ R
Determine which line is perpendicular to the line 2x - 3y + 17 = 0.
A r = (2, -3) + s(3, -2), s ∈ R
B r = (1, 2) + s(3, 2), s ∈ R
C r = (1, 7) + s(2, -3), s ∈ R
D r = s(3, 2), s ∈ R
Which of the following planes is the equation for the plane with an x-intercept at P(2, 0, 0), a y-intercept at Q(0, -3, 0), and is parallel to the z-axis?
A 3x - 2y - 6 = 0
B 2x - 3y + z - 6 = 0
C 3y - 2z - 6 = 0
D z = -6