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If a, b, c are three non-coplanar mutual...

If `a, b, c` are three non-coplanar mutually perpendicular unit vectors, then `[a, b, c]` is

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` veca_|_ vecb_|_ vecc` and` |veca|=|vecb|=|vecc|=1.`
therefore `veca xx vecb `will be parallel/anti parallel to `vecc`
thus angle between `veca xx vecb ` and`vecc` will be `0^@or180^@`
so answer=> `+-1` as `cos0^@=1 and cos180^@=-1.`
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