2. Four vectors in x-y plane A, B, C, and D each have the same magnitude...

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2. Four vectors in x-y plane A, B, C, and D each have the same magnitude Q. (a) (1p) What is the largest magnitude Rmax the resultant vector may have when all four vectors are added? Make a graph. (b) (2p) What is the smallest magnitude Rmin of the resultant vector? (all four added). Make a graph. (c) (2p) Compute the average of values from (a) and (b). Show an example where the magnitude of the resultant vector of all four is equal to this value (Rmax + Rmin)/2 by making a graph. Always display the resultant using head-to-tail rule. W N S E Formulas: Scalar (dot) Product: R = Ay + By By A + B = R A R Ax Rx = Ax + Bx A. B = AB cos 0 B X Bx 2. Four vectors in x-y plane A, B, C, and D each have the same magnitude Q. (a) (1p) What is the largest magnitude Rmax the resultant vector may have when all four vectors are added? Make a graph. (b) (2p) What is the smallest magnitude Rmin of the resultant vector? (all four added). Make a graph. (c) (2p) Compute the average of values from (a) and (b). Show an example where the magnitude of the resultant vector of all four is equal to this value (Rmax + Rmin)/2 by making a graph. Always display the resultant using head-to-tail rule. W N S E Formulas: Scalar (dot) Product: R = Ay + By By A + B = R A R Ax Rx = Ax + Bx A. B = AB cos 0 B X Bx