In an accurate diagram, show that the following vectors are orthogonal

(perpendicular to each other)

a) Show that vectors a1 and 2 ∗ a2 (vector a2 multiplied by scalar 2) are orthogonal.

b) Graph the line corresponding to −x1 + 32x2 = 0 and conclude that the resulting segment of the line defined by points [(0, 0),(3, 1)] is orthogonal to vector (-1, 3).

c) Graph the line −x1 + 32x2 = 9 and conclude that the resulting segment of the line defined by points [(0, 3),(3, 4)] is orthogonal to vector (-1, 3).

d) From

b) and

c) conclude that any line is defined by an orthogonal vector containing the known coefficients of the linear equation.

a 3 a =