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Let a and b be two unit vectors .if vector c=a+2b and d=5a-4b are perpendicular to each other .then the angle between a & b is..??

Srijan , 12 Years ago
Grade Upto college level
anser 1 Answers
Naveen Kumar
Ads c and d are perpendicular. so just take their dot product and writr
c.d=0
(a+2b).(5a-4b)=0
5*1-4a.b+10b.a-8*1=0
(As a and b are unit vectors, so their dot product=1)
6a.b=3
a.b=1/2=cosX
x=60 degree
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Last Activity: 11 Years ago
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