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Cartesian Coordinate Plane
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Cardinal Directions for Vector
North
South
East
West
Northeast
Northwest
Southeast
Southwest
North of East
East of North
West of North
North of West
South of East
East of South
West of South
South of West
Graphical Method
We can add two vectors by placing them head to tail
Adding them in reverse order gives the same result.
We can also add them by constructing a parallelogram.
R = A + B
Analytical Method
Pythagorean theorem can be used in determining the magnitude of the resultant vector of vectors that make a right triangle.
Relative to X axis
X component = Acosø
Y component = Asinø
Relative to Y axis
X component = Asinø
Y component = Acosø