The displacement vectors The displacement vectors A and B shown in the figure be

Question

The displacement vectors

The displacement vectors A and B shown in the figure below both have magnitudes of 2.44 m. The direction of vector A is Find graphically. Find graphically. Find graphically. Find graphically.

Explanation / Answer

B = 2.44 j A = 2.44*cos(23.6) i + 2.44*sin(23.6) j => A = 2.236 i + 0.977 j a). A+B = 2.236 i + (0.977 + 2.44) j = 2.236 i + 3.417 j direction = tan^-1(3.417/2.236) = 56.8 degrees counterclockwise from x-axis b). A-B = 2.236 i + (0.977 - 2.44) j = 2.236 i -1.463 j direction = tan^-1(-1.463/2.236) = 326.81 degrees counterclockwise from x-axis c). B-A = -(A-B) = -2.236 i + 1.463 j direction = tan^-1(1.463/-2.236) = 326.81 degrees counterclockwise from x-axis d). A-2B = 2.236 i + (0.977 - 2*2.44) j = 2.236 i -3.903 j direction = tan^-1(-3.903/2.236) = 299.81 degrees counterclockwise from x-axis

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