IIT JEE , AIEEE Forum - Mathematics , Vectors - give an eg . of phisical quantity such that a.b = c.b and a not equal to c

nics

give an eg . of phisical quantity such that a.b = c.b and a not equal to c

raaga_s

let angle between a n b be 0, angle between b n c be 60.
a.b=abcos(theta)=abcos0=ab
b.c=bccos(phi)=bccos60=bc/2
given a.b=b.c
ab=bc/2

thus a=c/2
rate me please

nics

question is to give the eg of the pyisical quantity

skb

its given that a.b=b.c,
a.b-b.c+0
b.(a-c)=0,co b can be the force whose component along line a-c,(let both of them be position vec) is zero.
torque of this force along axis a-c,is zero.
or b can be llinear momentum .

sruthisaraga

WE OFCOURSE HAVE EGSAMPLES............. work done.... and so on...........
the quantities which r not defined with directions are dot products{excluding findas}

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