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(i)Show that [ vec a + vec b, vec b + vec c, vec c + vec a] = 2 [vec a vec b vec c]. (ii)If vec a, vec b, vec c are coplanar, prove that vec a + vec b, vec b + vec c, vec c + vec a are also coplanar.

Answer»


ANSWER :(i) `(because[VEC a, vec b, vec c] = [vec b, vec c, vec a])`
(II)`vec a + vec b , vec b + vec c, vec c + vec a`are coplanar.


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