ctors u and v are given. v = -6i – 12j + 6k u (a) Find a vector orthogonal (perpendicular) to both u and v. <-14,7,0 > (b) Find a unit vector orthogonal (perpendicular) to both u and v. 14i + 7j V 245 d Help? Read It Watch It

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Two vectors u and v are given.
-j-k,
v = -6i – 12j + 6k
u =
(a) Find a vector orthogonal (perpendicular) to both u and v.
<-14,7,0 >
(b) Find a unit vector orthogonal (perpendicular) to both u and v.
14i + 7j
V245
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The lengths of two vectors u and v and the angle 0 between them are given. Find the length of their cross product, Ju x
v|.
1
28, |v| = 0 = 60°
4
Ju|
Ju x v|
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The lengths of two vectors u and v and the angle 0 between them are given. Find the length of their cross product, Ju x v|.
|u|
10, |v| = 7, 0 = 90°
|u x v|
=
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Transcribed Image Text:Two vectors u and v are given. -j-k, v = -6i – 12j + 6k u = (a) Find a vector orthogonal (perpendicular) to both u and v. <-14,7,0 > (b) Find a unit vector orthogonal (perpendicular) to both u and v. 14i + 7j V245 Need Help? Watch It Read It The lengths of two vectors u and v and the angle 0 between them are given. Find the length of their cross product, Ju x v|. 1 28, |v| = 0 = 60° 4 Ju| Ju x v| Need Help? Read It Watch It The lengths of two vectors u and v and the angle 0 between them are given. Find the length of their cross product, Ju x v|. |u| 10, |v| = 7, 0 = 90° |u x v| = Need Help? Read It Watch It
Three vectors u, v, and w are given.
u = (2, 1, -2), v = (-1, 4, 0), w =
(3, –1, 3)
(a) Find their scalar triple product u · (v x w).
55
(b) Are the vectors coplanar?
Yes
No
If not, find the volume of the parallelepiped that they determine. (If the vectors are coplanar, enter 0.)
|-55
Transcribed Image Text:Three vectors u, v, and w are given. u = (2, 1, -2), v = (-1, 4, 0), w = (3, –1, 3) (a) Find their scalar triple product u · (v x w). 55 (b) Are the vectors coplanar? Yes No If not, find the volume of the parallelepiped that they determine. (If the vectors are coplanar, enter 0.) |-55
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