If $straight a with rightwards arrow on top. space straight a with rightwards arrow on top space equals space 0$ and $straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 0 comma$ then what can be concluded about the vector $straight b with rightwards arrow on top$ ?

Solution

straight a with rightwards arrow on top. space straight a with rightwards arrow on top space equals space 0 space space space space space rightwards double arrow space space straight a squared space equals space 0 space space space space space space rightwards double arrow space space space straight a space space equals 0

therefore space space space space straight a with rightwards arrow on top space equals space 0 with rightwards arrow on top

Now,

straight a with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 0 space space space space space space space rightwards double arrow space space space space space 0 with rightwards arrow on top. space straight b with rightwards arrow on top space equals space 0

therefore space space space space straight b with rightwards arrow on top space can space be space any space vector. space

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