1.

For two vectors vec(a) and vec(b),|vec(a) + vec(b)|=|vec(a)-vec(b)| when

Answer»

`|a|=|b|ne0`
`VEC(a)` is PERPENDICULAR to `vec(b)`
`|a|=|b|ne0` and `vec(a)` and `vec(b)` are PARALLEL and antiparallel
when either of |a| or |b| is zero

Solution :Here
`|vec(a)+vec(b)|=sqrt(a^(2)+b^(2)2abcostheta)`
and `|vec(a)-vec(b)|=sqrt(a^(2)+b^(2)-2abcostheta)`
When `theta=90^@,costheta=0`
and `|vec(A)+vec(b)|=|vec(a)-vec(b)|`


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