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`vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hat
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`vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hatk, vecc=-2hati+hatj-3hatk` such that `vecr=lambdaveca+muvecb+gammavecc`, then
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