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Unformatted text preview: Chapter 3: Vector Addition and
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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- Fall '11