INTRODUCTION TO LINEAR ALGEBRA Third Edition
MANUAL FOR INSTRUCTORS
Gilbert Strang
gs@math.mit.edu
Massachusetts Institute of Technology
http:/web.mit.edu/18.06/www http:/math.mit.edu/~gs http:/www.wellesleycambridge.com
Wellesley-Cambridge Press
1. The x and the y components of a vector a lying on the xy plane are given by
ax = a cos , a y = a sin
where a =| a | is the magnitude and is the angle between a and the positive x axis. (a) The x component of a is given by ax = 7.3 cos 250 = 2
1. Using the given conversion factors, we find (a) the distance d in rods to be d = 4.0 furlongs =
( 4.0 furlongs )( 201.168 m furlong )
5.0292 m rod
= 160 rods,
(b) and that distance in chains to be d =
( 4.0 furlongs )( 201.168 m furlong )
20.1