→→→ If a, b, c and are distinct vectors such that axc=bxd and ax b = cxd, prove that →→>> (a-d).(b-c) # 0, i.e., a·b+d.cd.b + a.c.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 40E
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EXAMPLE 3.16
→→→>> ➜>>
→>> →>>
If a, b, c and d are distinct vectors such that axc=bxd and a × b = c
= cxd, prove that
→>>
→
(a-d) (b-c) * 0, i.e., a·b + d.cd.b + a.c.
Transcribed Image Text:EXAMPLE 3.16 →→→>> ➜>> →>> →>> If a, b, c and d are distinct vectors such that axc=bxd and a × b = c = cxd, prove that →>> → (a-d) (b-c) * 0, i.e., a·b + d.cd.b + a.c.
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