Question

Write two different vectors having same magnitude.

Answer 1

Consider `veca = (veci - 2vecj + 3veck)` and `vecb = (2veci + vecj - 3veck)`.

It can be observed that,

`|veca| = sqrt(1^2 + (-2)^2 + 3^2)`

`= sqrt(1 + 4 + 9)`

`= sqrt14`

and `|vecb| = sqrt(2^2 + 1^2 + (-3)^2)`

` = sqrt(4 + 1 + 9)`

` = sqrt14`.

Hence, `vec a and vecb` are two different vectors with the same magnitude. The vectors are different because they have different directions.