IIT JEE , AIEEE Forum - Mathematics , Vectors - show vector a=3i-2j+k,vector b=i-3j+5k & vector c=2i+j-4k make right angled triangle

swarna.dutt92

show vector a=3i-2j+k,vector b=i-3j+5k & vector c=2i+j-4k make right angled triangle

ankurgupta91

as a.c= 0
nd |b|^2 = |a|^2 + |c|^2
thus ,these vectors make a right angled triangle at B

rahulvij33

a=3i+2j+k,IaI^2=14

IbI^2=35

IcI^2=21so,IaI^2+IcI^2=IbI^2

so, its right anled triangle

ayush.jain67

THIS IS VERY SIMPLE QUESTION JUST USE THE CONCEPT OF DOT PRODUCT so (a.c=0) therfore angle between them is 90 so hence proved