if a , b,c are three mutually perpendicular vectors of equal magnitude then prove

Asked by  | 20th Feb, 2009, 05:21: PM

Expert Answer:

let θ be the angle between a+b+c and a. then

cos θ = (a+b+c).(a) / |a| |a+b+c|

=a.a/ |a| 3 |a|

=1 / 3

since a ,b c are mutually perpendicular so | a +b+c | will be |a|2 + |b|2 + | c |2 = 3 |a|    ( |a| = |b| = |c| )

Answered by  | 20th Feb, 2009, 10:56: PM

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