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Can a vector be zero if any of its com...

Can a vector be zero if any of its components is not zero?

Text Solution

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In terms of components in three dimestions,
`vecA = hati A_(x) + hatj A_(y) + hatk A_(z)` with `A = sqrt(A_(x)^(2)+ A_(y)^(2) + A_(z)^(2))`
so if any of `A_(x),A_(y) and A_(z)` is not zero (or null) all its components must vanish.
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