AP Physics
1
Explorer
1.5 · vector decomposition
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v = (x, y)
|v| = R
x = R · cos θ
y = R · sin θ
Quick angles
0°
30°
45°
60°
90°
θ · angle
0°
R · magnitude
1.0
R (magnitude)
1.00
θ (angle)
0°
x = R·cosθ
1.00
y = R·sinθ
0.00
Components — signed
R
1.00
x
1.00
y
0.00
θ measured from positive x-axis (3 o'clock)
counterclockwise positive
R = 1.0 → unit circle