1.

State when the equality will hold, |veca - vecb|ge|veca|-|vecb|

Answer»

Solution :
LET ABC be a triangle such that `vec(AB) = veca, vec(CB) = vecb`
Then `vec(AC) = veca-vecb` be triangle LAW In the `triangleABC, AC+CB ge AB`
`IMPLIES |veca-vecb|+|vecb| ge veca`
`implies |veca-vecb| ge |veca| - |vecb|`
THEREFORE The equality holds when `veca` and `vecb` are collinear vectors.


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