Which statement below is false? DA. The vectors v and -v point in the opposite direction. OB. If v is a direction vector for a line L, then -v is also a direction vector for L. C There are infinitely many normal vectors for a plane. DB. There are infinitely many direction vectors for a line. DE. If n is a normal vector for a plane P, then 3n is also a normal vector for P. OF. The components of the vector (3, 2, 1) based at the point P = (1,1, 1) are (2,0, 1).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.4: Vectors In Three Dimensions
Problem 1E: A vector in three dimensions can be written in either of two forms: in coordinate form as v=a1,a2,a3...
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Which statement below is false?
OA.
The vectors v and -v point in the opposite direction.
OB.
If v is a direction vector for a line L, then -v is also a direction vector for L.
OC. There are infinitely many normal vectors for a plane.
OD.
There are infinitely many direction vectors for a line.
O E. If n is a normal vector for a plane P, then 3n is also a normal vector for P.
OF. The compone
of the vector (3, 2, 1) based at the point P =
(1, 1, 1)
are (2,0, 1).
Transcribed Image Text:Which statement below is false? OA. The vectors v and -v point in the opposite direction. OB. If v is a direction vector for a line L, then -v is also a direction vector for L. OC. There are infinitely many normal vectors for a plane. OD. There are infinitely many direction vectors for a line. O E. If n is a normal vector for a plane P, then 3n is also a normal vector for P. OF. The compone of the vector (3, 2, 1) based at the point P = (1, 1, 1) are (2,0, 1).
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