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Find the magnitude and direction of the vector represented
Chapter 1, Problem 36E(choose chapter or problem)
QUESTION:
Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = - 8.60 cm, Ay = 5.20 cm; (b) Ax = - 9.70 m, Ay = - 2.45 m; (c) Ax = 7.75 km, Ay = - 2.70 km.
Questions & Answers
QUESTION:
Find the magnitude and direction of the vector represented by the following pairs of components: (a) Ax = - 8.60 cm, Ay = 5.20 cm; (b) Ax = - 9.70 m, Ay = - 2.45 m; (c) Ax = 7.75 km, Ay = - 2.70 km.
ANSWER:Answer : The magnitude of the two components of the vector is given by formula, As 2 2 | |= A x + Ay For components: (a) Ax = - 8.60 cm, Ay = 5.20 cm We can calculate: 2 2 2 2 |1 | A1x + A1y = = (8.60) + (5.20) = 73.96 + 27.04 = 101 = 10.04 m For components: (b) Ax = - 9.70 m, Ay =