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Let a=hati+hatj+hatk, b=hati-hatj+hatkandc=hati-hatj-hatk be three vectors. A vector v in the plane of a and b, whose projection on c is (1)/(sqrt(3)), is given by |
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Answer» `hati-3hatj+3hatk` `v=(1+lamda )hati +(1-lamda ) hatj +(1+lamda )hatk` projectionofvonc`=(v.c)/(|c|)=(1)/(sqrt(3))` `IMPLIES ((1+lamda )-(1-lamda )-(1+lamda ))/(sqrt(3))=(1)/(sqrt(3))` `implies lamda =2` `thereforev= 3 hati- hatj+ 3 hatk` |
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