Given three vectors with magnitudes A = 4.0 m; B = 5.0 m; and C = 6.0 m, and dir

Question

Given three vectors with magnitudes A = 4.0 m; B = 5.0 m; and C = 6.0 m, and directions A = 30°; B = 90°; and C = 225°, find the vector sum D = A + B + C graphically and analytically. Find the percent error. Graphical: D = ______ D = ______ Analytical: D = ______ D = ______ %error D = __________ %error D = __________

Define the opposite of a vector as another vector of the same magnitude but pointing in the opposite direction. Given 2 vectors with magnitudes A = 2.0 m and B = 2.0 m, and directions A = 45° and B = 135°, find the magnitude and direction of C such that A + B + C = 0. Do it analytically and graphically. Find the percent error.

Graphical: C = ______ C = ______ Analytical: C = ______ C = ______ %error C = __________
%error C = __________

Explanation / Answer

Given three vectors with magnitudes A = 4.0 m; B = 5.0 m; and C =6.0 m, and directions A = 30°; B = 90°; andC = 225°, find the vector sum D = A + B +C graphically and analytically. Compare the results.
vector     Xcomponent     Y component
A    4      4cos30 =3.46         4sin30=2
B   5                          0                    5
C      6     6cos225 =-4.24        6sin225=-4.24
adding vectors is equal to adding their components.
x component==-0.78
y component== 2.76
D=(-0.78)2+(2.76)2=2.8681

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.