2. If = [m, n, 1] is perpendicular to both a = [4, 1, −2] and b = [2, -3, -8], find m and n.

Determine whether the line through the given points and the line through R(3,5) and S(2,7) are parallel, perpendicular, or neither. P(a,a);Q(3a,6a)(a0)

An airplane flies from Naples, Italy, in a straight line to Rome, Italy, which is 120 kilometers north and 150 kilometers west of Naples. How far does the plane fly?

Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the segment joining 2, 4 and -6, 10.

Determine which, if any, of the three lines PQ, PR, and QR are perpendicular. P(5,4);Q(2,5);R(8,3)

Determine whether the two lines are parallel, perpendicular, or neither. 2x3y=5;3x+2y=7

Use a system of linear equation to find the parabola y=ax2+bx+c that passes through the points (1,2), (0,1) and (2,6)

Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)