Given veca=1/7 (2hati+3hatj+6hatk), vec=...

Given `veca=1/7 (2hati+3hatj+6hatk), vec= 1/7 (3hati-6hatj+2hatk) and vecc1/7(6hati+2hatj-3hatk)`. Show that `veca,vecb,vecc` are of unit length mutually perpendicular and that `vecaxxvecb=vecc`.

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