This preview shows page 1. Sign up to view the full content.
Unformatted text preview: v 2 ū w 0 by assumption so ū is pependicular to v 2w.
Geometrically, ū is pependicular to any vector in the plane of v and w if ū is perpendicular to
v and w.
c) True: ū v 2 ū v ū v ū 2 2 ū v v 2 1 0 1 2. Any two
orthogonal vectors that have length 1 are a distance 2 apart.
v
9. If the product of the slopes, v 2 w 2 1 then v 1 w 1 v 2 w 2 0 or v w 0.
1w1
11. If v w 0 then cos 0 so /2. In three dimensions, given v, the vectors w
satisfying v w 0 ca...
View Full
Document
 Spring '08
 STAFF
 Linear Algebra, Algebra, Vectors

Click to edit the document details