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InterviewSolution
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4 Motion in a PlaneIf the sum of two unit vectors is also a unit vectorthen magnitude of their difference and anglebetween the two given unit vectors is(2) /3, 120(4) 2,120°(3) v2,60° |
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Answer» (A+B)²=A²+B²+2ABcos(x)(A+B)²=A²+B²+2ABcos(x) |A|=1,|B|=1,|A+B|=1|A|=1,|B|=1,|A+B|=1 =>1²=1²+1²+2(1)(1)cos(x)=>1²=1²+1²+2(1)(1)cos(x) =>cos(x)=−(1/2)=>cos(x)=−(1/2) =>x=120°=>x=120° Angle between A and B = 120° => Angle between A and -B = 60° (A−B)²=A²+B²+2ABcos(x)(A−B)²=A²+B²+2ABcos(x) =>(A−B)²=1²+1²+2∗1∗1∗(1/2)=>(A−B)²=1²+1²+2∗1∗1∗(1/2) =>(A−B)=√3 thanks! |
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