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Unformatted text preview: pendicular to ū 1 and ū 2 respectively. Note
that any combination c 1, 2, 0 d 0, 2, 1 is perpendicular to ū 2 and that exhausts all the
possibilities.
6. a) Any multiple of 1, 2 is perpendicular to 2, 1 .
b) plane. (This is the plane x y z 0.
c) line. (This is the line through the origin perpendicular to the plane containing the two
given vectors)
8. a) Clearly false, since 1, 0, 0 is perpendicular to 0, 1, 0 and to 0, 0, 1 but those latter
two vectors are not parallel.
b) True: ū v 2w ū ...
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This document was uploaded on 02/19/2014 for the course MATH 441 at WVU.
 Spring '08
 STAFF
 Linear Algebra, Algebra, Vectors

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