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Exercise 1.24 Correct Part C Fnd the magnitude of he vector diference A B Express your answer using two significant figures. Submit Previous Answers Request Answer X Incorrect: Try Again; 4 attempts remaining Part D Find the direction of the vector difference A-B Express your answer using three significant figures 1マ e counterciockwise from +z-axis Submit Previous Answers Request Answer Figure </ 1of1 ) X Incorrect; Try Again; 5 attempts remaining (15.0 m) Part E D(100m) 300 Use your answers to find the magnitude of-A-B Express your answer using two significant figures 25 Č (120m) A (8.00 m) Submit JAN 24

Answer 1

Concept:- we express each vector in component form and then add them using vector component method,  

c) A^rightarrow = minus 8 j^^m B^rightarrow = 15 (sin 30 degree i^^+ cos 30 degree j^^) = 7.5 i^^+ 13 j^^m so, A^rightarrow minus B^rightarrow = minus 8 j^^minus 7.5 i^^minus 13 j^^= minus 7.5 i^^minus 21 j^^so, Vertical-bar A^rightarrow minus B^rightarrow Vertical-bar = squareroot (minus 7.5)^2 + (minus 21)^2 m = 22 m D) tan theta = 21/7.5 or, theta = 70.3 degree so, direction = 180 + theta = 250 degree E) minus A^rightarrow minus B^rightarrow = 8 j^^minus 7.5 i^^minus 13 j^^= minus 7.5 i^^minus 5 j^^ Vertical-bar minus A^rightarrow minus B^rightarrow Vertical-bar = squareroot (minus 7.5)^2 + (minus 5)^2 = 9.0 m

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