Problem 7. 8. (II) Let V 6.0i 8.0i and v 4.5i 5.0j. Deter mine the and direction
ID: 1529619 • Letter: P
Question
Problem 7. 8. (II) Let V 6.0i 8.0i and v 4.5i 5.0j. Deter mine the and direction of (a) vi, (b) (c) V sum of the three vectors V 4.0i 8.0j, V2 i j, and vs 2.0i 4.0i. (b) Determine V V3. are given in arbitrary units. Determine the sum of the three vectors. Give the resultant in terms of (a) components, (b) magnitude and angle with x axis. y 44.0) 56.0° 28.0 FIGURE 3-38 C (C 31.0) Problems 10, 11, 12, 13, and 14. Vector magnitudes are given in arbitrary units. I. (II) (a) Given the vectors A and B shown in Fi determine B A. (b) Determine A B out using your answer in (a). Then compare your results and see if they are opposite. (II) Determine the vector A C, given the vectors A and C in Fig. 3-38. (II) For the vectors shoun in Inu nExplanation / Answer
here,
10)
A = 44 * ( cos(28) i + sin(28)j)
A = 28.8 i + 20.66 j
B = 26.5 * ( - cos(56) i + sin(56) j)
B = - 14.8 i + 21.97 j
C = - 31 j
a)
the sum of vectors , R = A + B + C
R = 14 i + 11.63 j
b)
the magnitude , |R| = sqrt(14^2 + 11.63^2)
|R| = 18.2 units
theta = arctan(11.63/14) = 39.7 degree counterclockwise from +x axis