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CBSE Class 11-science Answered

find angle between A= 3i+4j and B=12i+5j
Asked by puneetgarg2555 | 27 May, 2018, 07:52: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight A space equals space 3 straight i space plus space 4 straight j
straight B space equals space 12 straight i space plus space 5 straight j
straight A with rightwards arrow on top space. space straight B with rightwards arrow on top space equals space space open vertical bar straight A with rightwards arrow on top close vertical bar space open vertical bar straight B with rightwards arrow on top close vertical bar cosθ
rightwards double arrow space cosθ space space equals space fraction numerator straight A with rightwards arrow on top space. space straight B with rightwards arrow on top space over denominator open vertical bar straight A with rightwards arrow on top close vertical bar space open vertical bar straight B with rightwards arrow on top close vertical bar end fraction equals fraction numerator left parenthesis 3 straight i space plus space 4 straight j right parenthesis. left parenthesis 12 straight i space plus space 5 straight j right parenthesis over denominator square root of 25 square root of 169 end fraction space equals space 56 over 65 equals 0.8615
rightwards double arrow space straight theta space space equals cos to the power of negative 1 space end exponent left parenthesis space 0.8615 right parenthesis space equals space 30.51 degree end style
Answered by Yasmeen Khan | 28 May, 2018, 11:14: AM

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