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Multiple Choice
Find the magnitude of the Resultant Vector D=C-B-A.
A
2.24
B
3.0
C
12.5
D
17
Verified step by step guidance
1
Identify the components of vectors A, B, and C from the graph. Vector A is in the first quadrant, vector B is in the second quadrant, and vector C is in the third quadrant.
Express each vector in terms of its components. For example, if vector A has components (Ax, Ay), vector B has components (Bx, By), and vector C has components (Cx, Cy).
Calculate the components of the resultant vector D by subtracting the components of vectors B and A from vector C: Dx = Cx - Bx - Ax and Dy = Cy - By - Ay.
Use the Pythagorean theorem to find the magnitude of the resultant vector D. The magnitude is given by the formula: |D| = sqrt(Dx^2 + Dy^2).
Verify the calculated magnitude with the given correct answer to ensure the steps were followed correctly.