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It has no magnitude so the direction is irrelevant. Due east (along the positive

ID: 1687343 • Letter: I

Question

It has no magnitude so the direction is irrelevant. Due east (along the positive x-axis)     Due north (along the positive y-axis) Due west (along the negative x-axis) Due south (along the negative y-axis) A northeasterly direction (first quadrant) A northwesterly direction (second quadrant) A southwesterly direction (third quadrant) A southeasterly direction (fourth quadrant) It has no magnitude so the direction is irrelevant. Due east (along the positive x-axis)     Due north (along the positive y-axis) Due west (along the negative x-axis) Due south (along the negative y-axis) A northeasterly direction (first quadrant) A northwesterly direction (second quadrant) A southwesterly direction (third quadrant) A southeasterly direction (fourth quadrant)

Explanation / Answer

vector A = 16 sin 80 i + 16 cos 80 j = 15.75 i + 2.778 j vector B = 19 cos 49 * -i + 19 sin49 * -j = -12.46 -14.33 j A + B = 15.75 i + 2.778 j -12.46 -14.33 j = 3.29 i -11.56 j magnitude of A+B is = sqrt [ 3.29^ 2 +(-11.56)^ 2] = 12.01 Let (A+B) makes an angle theta with east in south direction then tan(theta) = 11.56 / 3.29 theta = 74.11 degrees

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