1.

If ` vec a, vec b and vec c` be any three vectors then show that ` vec a + ( vec b + vec c) = ( vec a + vec b) + vec c`

Answer» We can show it with the help of the diagram.
Please refer to video for the diagram.
`veca +(vecb+vecc) = veca+vecd`
Here, `vecd` is a vector joining tail of `vecb` and head of `vecc`.
` =>veca +(vecb+vecc)=veca+vecd = vece->(1)`
Here, `vece` is a vector joining tail of `veca` and head of `vecd`.
Now, `(veca+vecb)+vecc = vecf+vecc`
Here, `vecf` is a vector joining tail of `veca` and head of `vecb`.
If we join tail of `vecf` and head of `vecc`, then it will come `vece`.
`=>(veca+vecb)+vecc = vecf+vecc = vece->(2)`
From (1) and (2),
`veca +(vecb+vecc) = (veca+vecb)+vecc`


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