Let T: R² → R² be a reflection in the x-axis. Find the image of each vector. (a) (2,7) (b) (6, -8) (c) (a,0)

Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

Let L₁ be the line passing through the points Q₁(-4, 5, −5) and Q₂(−1, 6, −2) and let L2 be the line passing through the point P₁ (9, 11, 3) with direction vector d = [4, 2, 2] T. Determine whether L₁ and L₂ intersect. If so, find the point of intersection.

Find the vector expression for the line that is the intersection of the planes 3x−3y−2z=−2 and −4x+2y+z=−4. Use t as the parameter in your vector expression.