Write the vectors A, B, and C in Cartesian coordinates. Calculate the length and

Question

Write the vectors A, B, and C in Cartesian coordinates. Calculate the length and direction of the vectors A, B and C. Add the three vectors A, B and C graphically. Determine the difference vector = B- A graphically. Add the three vectors A, B and C using the component method, and find their sum vector D. Use the component method to determine the length of the vector F = C - A - B. Sketch the vectors with the components A = (A_ A_) = (30.0 m, -50.0m) and B = (B_ B_) = (-30.0 m, 50.0 m), and find the magnitudes of these vectors. What angle does A = (A_ A_) = (30.0 m, -50.0 m) make with the positive x-axis?

Explanation / Answer

Here ,

for adding the vectors using the component method

first we should write the vector as components

A = 2.5 i+ 1.5 j

B = 4.5 i - 1.5 j

C = -6 i - 3 j

Now ,for the sum of these vectors

D = 2.5 i+ 1.5 j + 4.5 i - 1.5 j -6 i - 3 j

D = -2 i - 3 j

the sum vector D is -2 i - 3 j

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