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Vector A S has a magnitude of 8.00 units and makes an angle of 45.0° with the positive x-axis. Vector B S also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods, fi nd (a) the vector sum A S 1 B S and (b) the vector difference A S 2 B

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Answer:

A) First we need to decompose the vector A in x-axis and y-axis:

[tex]A = 4\sqrt{2}i+ 4\sqrt{2}j[/tex]

And also we have for vector B:

[tex]B = -8i[/tex]

To find A + B:

[tex]A+B = 4\sqrt{2}i+ 4\sqrt{2}j-8i = (4\sqrt{2}-8)i+ 4\sqrt{2}j[/tex]

B)

[tex]A-2B = 4\sqrt{2}i+ 4\sqrt{2}j-16i = (4\sqrt{2}-16)i+ 4\sqrt{2}j[/tex]

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