I need the detail explanation on the following problems. Of course, the answers
ID: 1571482 • Letter: I
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I need the detail explanation on the following problems. Of course, the answers were correct but I do not know how to calculate. Please explain me in step by step calculation. Thanks a lot for your help!
The following figure shows three vectors. Consider this figure in questions 6-10. y axis B 7.07 C 10.0 450 30o A 10.0 6. What is the magnitude of A B (a) 15.8 (b) 20.0 (c) 11.8 (d) 7.8 Answer (a) 7. What is the magnitude of A- B (a) 5.00 (3.87 (c) 7.07 (d) 10.00 Answer (c) 8. What is the magnitude of A B C? (a) 10.00 (b) 11.8 (c) 15.8 (d) 7.8 Answer (b) 9. What is the direction of A B with respect to the +x axis? (a) 10.99 (b) 45.09 (c) 18.49 (d) 32.79 Answer (c) 10. What is the direction of A- B with respect to the +x axis? (a) 10.99 (b) 45.00 (c) 18.49 (d) 32.70 Answer (d)Explanation / Answer
6) Here, A + B = (10 + 7.07cos45) i + 7.07sin45 j
= 15 i + 5 j
=> magnitude of A + B = sqrt(152 + 52)
= 15.8
7) Here, A - B = (10 - 7.07cos45) i - 7.07sin45
= 5 i - 5 j
=> magnitude of A - B = sqrt(52 + 52)
= 7.07
8) Here, A + B + C = (10 + 7.07cos45 - 10cos30) i + (7.07sin45 + 10sin30) j
= 6.34 i + 10 j
=> magnitude of A + B + C = sqrt(6.342 + 102)
= 11.8
9) direction of A + B = tan-1(5/15)
= 18.4 degree
10) direction of A - B = 360 - tan-1(5/5)
= 315 degree
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