Homework SourseA is 750 m 30 N ofE b is 600m 19 n of w c is 250m 52 s of w
A is 75.0 m 30\' N ofE, b is 60.0m 19\' n of w, c is 25.0m 52\' s of w and d is 90.0 27\' s of e.
Find the magnitude and detection of A-B+D
And ( AxB)*C
A is 75.0 m 30\' N ofE, b is 60.0m 19\' n of w, c is 25.0m 52\' s of w and d is 90.0 27\' s of e.
Find the magnitude and detection of A-B+D
And ( AxB)*C
Find the magnitude and detection of A-B+D
And ( AxB)*C
Solution
A = 75 ( cos30 i + sin30j) = 64.95i + 37.5j m
B = 60 (-cos19 i + sin19) = - 56.73i + 19.53 j m
C = 25 (-cos52i - sin52j) = - 15.39i - 19.70j m
D = 90 (cos27i - sin27j) = 80.19i - 40.86j m
R =A - B + D = 64.95i + 37.5j + 56.73i - 19.53 j + 80.19i - 40.86j
R = 201.87i - 22.89j
Magnitude = sqrt[201.87^2 + 22.89^2] = 203.16 m
direction = tan^-1(22.89 / 201.87) = 6.47 S of E
--------------------
(A X B) = (64.95i + 37.5j ) X ( - 56.73i + 19.53 j )
= 1268.47k +2127.37k = 3395.85 k
(A X B) X ( - 15.39i - 19.70j )
= ( 3395.85 k ) X ( - 15.39i - 19.70j )
= - 52262.05j + 66898.25 i
magnitude = sqrt[ 52262.05^2 + 66898.25^2] = 84892.27 m^3
direction = tan^-1[ 52262.05 / 66898.25 ] = 38 deg S of E.
