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प्रश्न
Write two different vectors having same magnitude.
उत्तर
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.
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