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from the +x-axis Additional Materials eBook 1 2.3.P.047 --2i-5j and A--si-j, cal

ID: 3279671 • Letter: F

Question

from the +x-axis Additional Materials eBook 1 2.3.P.047 --2i-5j and A--si-j, calculate the following. (a) A +B (Express your answer in vector form) Enter the magnitude and direction (in degrees magnitude direction ckwise from the +x-axis) for A+. counterclockwise from the +x-axis (b) A-B (Express your answer in vector form.) A- B Enter the magnitude and direction (in degrees counterclockwise from the +x-axis) for A - B. magnitude direction counterclockwise from the +x-axis Additional Materials eBook 5. O-12 points OSUhiPhys1 2.P083 A diver explores a shallow reef off the coast of Belize. She initially swims 35.0 m north, makes a turn to continues for 230.0 m, then follows a big grouper for 50.0 m in the direction current displaces her by 150.0 m south. Assuming the current is no longer present, and in what direction (in degrees counterclockwise 60° north of east. In the meantime, a local how far should she now swim (in m), ( from the +x-axis), to come back to the point where she started? (Assume the +x-axis is to the east, and the ty-axis is to the north.) magnitude direction counterclockwise from the +x-axis

Explanation / Answer

here,

B = - 2i - 5j

A = - 5i - 3j

a)

A + B = - 7 i - 8 j

magnitude = sqrt(7^2 + 8^2) = 10.6 units

theta = arctan(8/7) = 228.8 degree counterclockwise from +x axis

b)

A - B = - 3 i + 2 j

magnitude = sqrt(3^2 + 2^2) = 3.6 units

theta = arctan(2/3) = 146.3 degree counterclockwise from +x axis