The vector veca is perpendicular to each...

The vector `veca` is perpendicular to each of the vectors `vecb=4vechati+5hatj-hatk, vec c=hati-4hatj+5hatk` and `veca.vecd=21`, where `vecd=3hati+hatj-hatk`, find the vector `veca`.

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The correct Answer is:

`veca=7(hati-hatj-hatk)`

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