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IF magnitude vector |a| = magnitude vector |b|, simplify (vector a + vector b). (dot) (vector a - vector b) and (vector a + vector b)^2

2006-12-02 16:47:37 · 3 answers · asked by year 12 student 2 in Science & Mathematics Physics

sorry no, i don't have any details on this, its a question from the specialist math book -question 5. c)

2006-12-02 16:55:20 · update #1

Heinemann VCE zone specialist mathematics exercise 1.5 question- 5 c)

2006-12-02 16:57:42 · update #2

3 answers

(a+b).(a-b)
=a.a-a.b+b.a-b.b
=a.a-b.b <>
=|a|^2-|b|^2

(a+b)^2
=(a+b).(a+b)
=a.a+a.b+b.a+b.b
=a.a+2a.b+b.b <>
=|a|^2+2|a||b|+|b|^2
Swamy

2006-12-03 02:42:46 · answer #1 · answered by K N Swamy 3 · 0 0

Im having a hard time visualizing this. Doesnt it depend on the direction of the vector?

2006-12-03 00:50:24 · answer #2 · answered by Steve-o 3 · 0 0

Dont know. Try out the wickipedia search

2006-12-03 00:58:29 · answer #3 · answered by Genius 2 · 0 0

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