The sum of three vectors shown in Fig. 2 ( c) . 77. is zero . . (a) What is the magnitude of the vector ` vec (OB) `? (b) What is the magnitude of the vector ` vec (OC)` ?
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Resolve `vecOC` into two rectangular componenets. `OD=OC cos 45^(@)` and `OE-OC sin 45^(@)` for zero resultant `OE=OA` or `OC sin 45^(@)=10N` `Ocxx(1)/sqrt(2)=10N` or `OC=10sqrt(2N)` and `OD=OB` or `OC cos 45^(@)=OB` or `10sqrt(2)=OB` or `OB=10N` `therefore OC=10sqrt(2N)` and `OB=10N`
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