notes3 - Chapter 3: Vector Addition and Subtraction The...

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Unformatted text preview: Chapter 3: Vector Addition and Subtraction The addition of vectors is not the same as the addition of scalars. Consider the vectors A and B The vector sum = resultant = R = A + B but, R A+B y Example. A=50.0 m, B=20.0 m R 70.0 m Use Pythagorean theorem R = (A2+B2)= 53.9 m B R A x Direction? h y Use trigonometric functions x=h cos , y=h sin , y=x tan x Three ways: = tan-1 (B/A) = 21.8° <- dimensionless = cos-1 (A/R) = 21.8° (or 21.7° for low precision) = sin-1 (B/R) = 21.8° Vector: R = 53.9 m @ 21.8° ...
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notes3 - Chapter 3: Vector Addition and Subtraction The...

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