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If |a-b| = |a| = |b|, then the angle between a and b is?

(VECTORS)

Asked by fireakanksha 4th May 2020, 8:08 PM
Answered by Expert
Answer:
open vertical bar A minus B close vertical bar space equals space square root of open vertical bar A close vertical bar squared space plus space open vertical bar B close vertical bar squared space minus space 2 open vertical bar A close vertical bar open vertical bar B close vertical bar cos theta end root space equals space open vertical bar A close vertical bar space equals space open vertical bar B close vertical bar space
square root of open vertical bar A close vertical bar squared space plus space open vertical bar A close vertical bar squared space minus space 2 open vertical bar A close vertical bar open vertical bar A close vertical bar cos theta end root space equals space open vertical bar A close vertical bar space

T h u s comma space s q a u r i n g space o n space b o t h space s i d e s comma space w e space g e t comma space
2 open vertical bar A close vertical bar squared space minus space 2 open vertical bar A close vertical bar squared space cos theta space equals space open vertical bar A close vertical bar squared space

T h u s comma space

cos theta space equals space 1 half
theta space equals space pi over 3 space equals space 60 degree
Answered by Expert 4th May 2020, 8:57 PM
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