-> -->> u, v and w are three non-coplanar unit vectors and a, ß and y are the angles between u and v, v and w, → -> →→ and w and u, respectively, and x, y and z are unit vectors along the bisectors of the angles a, ß and y, →→ -> a respectively. Prove that [xxy yxz zxx]=_(u v wf sec² 16 2 22 se Y sec² 22/20 1 sec²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 31E
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->
->
-->
->>
u, v and w are three non-coplanar unit vectors and a, ß and y are the angles between u and v, v and w,
→>
->
→→
and w and u, respectively, and x, y and z are unit vectors along the bisectors of the angles a, ß and y,
→→ →→ →
a
respectively. Prove that [xx yxz Zxx] = [u v w sec²
16
2
Y
22 se
sec² 212/2.
2
sec²
Transcribed Image Text:-> -> --> ->> u, v and w are three non-coplanar unit vectors and a, ß and y are the angles between u and v, v and w, →> -> →→ and w and u, respectively, and x, y and z are unit vectors along the bisectors of the angles a, ß and y, →→ →→ → a respectively. Prove that [xx yxz Zxx] = [u v w sec² 16 2 Y 22 se sec² 212/2. 2 sec²
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