Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, u· v, u· u, and v· v. (Round your answers to four decimal places.) (E) -- (0) - u = (a) the norms of u and v u = 0.416 |v|| = 2.16 (b) a unit vector in the direction of v (c) a unit vector in the direction opposite that of u (d) u. V 0.3472 (e) u u 0.17361 (f) v. v 4.694

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 48E
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Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, u · v, u· u, and v• v. (Round your answers to four
decimal places.)
- (0. ) v-(2, )
u =
= (2,
4'3
(a)
the norms of u and v
||u||
= 0.416
|| ||
= 2.16
(b)
a unit vector in the direction of v
(c)
a unit vector in the direction opposite that of u
(d)
u: V
0.3472
(е)
u• u
0.17361
(f)
v• V
4.694
Transcribed Image Text:Use a software program or a graphing utility with vector capabilities to find the lengths of u and v, a unit vector in the direction of v, a unit vector in the direction opposite that of u, u · v, u· u, and v• v. (Round your answers to four decimal places.) - (0. ) v-(2, ) u = = (2, 4'3 (a) the norms of u and v ||u|| = 0.416 || || = 2.16 (b) a unit vector in the direction of v (c) a unit vector in the direction opposite that of u (d) u: V 0.3472 (е) u• u 0.17361 (f) v• V 4.694
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