Math 241 - Quiz #1

1. Find the length of the line segment connecting A(3,-4,1) and B(5,-3,0).

2. Find |a|, a-b and 3a+4b where a = i-j and b = i+j.

Solutions:

1. D = sqrt[(3-5)^2 + (-4-(-3))^2 + (1-0)^2] = sqrt(6).

2. |a| = sqrt(1^2 + 1^2) = sqrt(2)
a-b = (i-j)-(i+j) = -2j
3a+4b = 3(i-j) + 4(i+j) = 7i + j

ccollins@math.utk.edu
Last Modified: Jan. 20, 1999