Question

(b) The dot product of two vectors ?A and ?B is defined as ?A · ?B = |?A||?B| cos ?, where ? is the angle between the two vectors. Based on this definition, show that when ?A = Ax î + Ay ?, and ?B = Bx î + By ?, the dot product between the two vectors is given by ?A · ?B = AxBx + AyBy.

          (b) The dot product of two vectors ?A and ?B is defined as ?A · ?B = |?A||?B| cos ?, where ? is the angle between the two vectors. Based on this definition, show that when ?A = Ax î + Ay ?, and ?B = Bx î + By ?, the dot product between the two vectors is given by

?A · ?B = AxBx + AyBy.

(b) The dot product of two vectors ?A and ?B is defined as ?A · ?B = |?A||?B| cos ?, where ? is the angle between the two vectors. Based on this definition, show that when ?A = Ax î + Ay ?, and ?B = Bx î + By ?, the dot product between the two vectors is given by

?A · ?B = AxBx + AyBy.

Added by Daniel C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Hemraj Kumawat

06/17/2022

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(b) The dot product of two vectors A and B is defined as A · B = |A||B|cosθ, where θ is the angle between the two vectors. Based on this definition, show that when A = Ax + Ay and B = Bx + By, the dot product between the two vectors is given by A · B = AxBx + AyBy.