can some one explain how to solve the vector problems Practice with Vectors 1. A

Question

can some one explain how to solve the vector problems

Practice with Vectors 1. Add the following vectors and determine the resultant. 3.0 m/s, 45 deg and 5.0 m/s, 135 deg 2. Add the following vectors and determine the resultant 5.0 m/s, 45 deg and 2.0 m/s, 180 deg 3. Add the following vectors and determine the resultant. 6.0 m/s, 225 deg and 2.0 m/s, 90 deg 4. Add the following vectors and determine the resultant. 4.0 m/s, 135 deg and 4.0 m/s, 315 deg 5. Add the following vectors and determine the resultant. 5.0 m/s, 45 deg and 2.5 m/s, 135 deg

Explanation / Answer

1)

A = 3 cos 45i + 3 sin45j = 2.12 i + 2.12j

B = 5 cos135 i + 5 sin135 j = - 3.54 i + 3.54 j

Resultant, R = A + B = 1.42 i + 5.66 j

R = sqrt(1.42^2 + 5.66^2) = 5.84 m/s

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