Question Solved1 Answer Figure 1 of 1 B (15.0 m) 30.0 D (10.0 m) 53.0 25.00 C(12.0 m) YA (8.00 m) Part A For the vectors A and B in the figure (Figure 1) A+ B use a scale drawing to find the magnitude of the vector sum using two significant figures. Express your answer AED ? m Part B Find the direction of the vector sum A +B using two significant figures. Express your answer ν Figure 1 of 1 B (15.0 m) 30.0 D (10.0 m) 53.0 25.00 C(12.0 m) YA (8.00 m) Part A For the vectors A and B in the figure (Figure 1) A+ B use a scale drawing to find the magnitude of the vector sum using two significant figures. Express your answer AED ? m Part B Find the direction of the vector sum A +B using two significant figures. Express your answer ν ΑΣφ counterclockwise from +x-axis Part C Find the magnitude of the vector difference A B Express your answer using two significant figures. Bνα ΑΣφ ? m Part D B Find the direction of the vector difference A Express your answer using three significant figures. Πν ΑΣφ ? Part E Use your answers to find the magnitude of -A- B Express your answer using two significant figures. να ΑΣφ Part F Find the direction of -A - B Express your answer using three significant figures. ν ΑΣφ counterclockwise from +r-axis Part G Find the magnitude of B - A Express your answer using two significant figures. Πν ΑΣφ ? m

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Transcribed Image Text: Figure 1 of 1 B (15.0 m) 30.0 D (10.0 m) 53.0 25.00 C(12.0 m) YA (8.00 m) Part A For the vectors A and B in the figure (Figure 1) A+ B use a scale drawing to find the magnitude of the vector sum using two significant figures. Express your answer AED ? m Part B Find the direction of the vector sum A +B using two significant figures. Express your answer ν ΑΣφ counterclockwise from +x-axis Part C Find the magnitude of the vector difference A B Express your answer using two significant figures. Bνα ΑΣφ ? m Part D B Find the direction of the vector difference A Express your answer using three significant figures. Πν ΑΣφ ? Part E Use your answers to find the magnitude of -A- B Express your answer using two significant figures. να ΑΣφ Part F Find the direction of -A - B Express your answer using three significant figures. ν ΑΣφ counterclockwise from +r-axis Part G Find the magnitude of B - A Express your answer using two significant figures. Πν ΑΣφ ? m
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Transcribed Image Text: Figure 1 of 1 B (15.0 m) 30.0 D (10.0 m) 53.0 25.00 C(12.0 m) YA (8.00 m) Part A For the vectors A and B in the figure (Figure 1) A+ B use a scale drawing to find the magnitude of the vector sum using two significant figures. Express your answer AED ? m Part B Find the direction of the vector sum A +B using two significant figures. Express your answer ν ΑΣφ counterclockwise from +x-axis Part C Find the magnitude of the vector difference A B Express your answer using two significant figures. Bνα ΑΣφ ? m Part D B Find the direction of the vector difference A Express your answer using three significant figures. Πν ΑΣφ ? Part E Use your answers to find the magnitude of -A- B Express your answer using two significant figures. να ΑΣφ Part F Find the direction of -A - B Express your answer using three significant figures. ν ΑΣφ counterclockwise from +r-axis Part G Find the magnitude of B - A Express your answer using two significant figures. Πν ΑΣφ ? m
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vec(B)=(15 sin 30) hat(ı)+(15 cos 30) hat(ȷ)=(15)/(2) hat(ı)+(15sqrt3)/(2) hat(ȷ)vec(A)=-8 hat(ȷ)vec(A)+ bar(B)=-8 hat(ȷ)+(15)/(2) hat(ı)+(15sqrt3)/(2) hat(ȷ)=((15)/(2)(sqrt3)/(2)-8) hat(ȷ)+(15)/(2) hat(ı)bar(A)+ bar(B)=(15)/(2) hat(ı)+((15sqrt3)/(2)-8) hat(ȷ)=7.5 hat(ı)+4.99 hat(ȷ)tan theta=(4.99)/(7.5)=0.6653theta=33.64^(@) from +vexar axobar(A)- bar(B)=-8 hat(ȷ)-((15)/(2)( hat(ı))+15(sqrt3 ... See the full answer