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Question
Find the scalar and vector componets of the vector with initial point (2,1) and terminal intial point (2,1) and terminal point (−5,7).
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Solution
Initial point A=(2,1)
Final point B=(−5,7)
−−→AB=Final point−Initial point
−−→AB=(−5^i+7^j)−(2^i+^j)
−−→AB=(−5−2)^i+(7−1)^j
−−→AB=−7^i+6^j
Final answer:
Hence, the scalar components are −7,6 and vector componets are −7^i,6^j
Final point B=(−5,7)
−−→AB=Final point−Initial point
−−→AB=(−5^i+7^j)−(2^i+^j)
−−→AB=(−5−2)^i+(7−1)^j
−−→AB=−7^i+6^j
Final answer:
Hence, the scalar components are −7,6 and vector componets are −7^i,6^j
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