mathcad - vectors and complex numbers

mathcad - vectors and complex numbers - Using Complex...

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a planar vector can be represented in terms of its magnitude and angle using a complex exponential pattern Cartesian notation and vector representation: x-y pairs a 1 3 := a vector with x=1 and y=3 b 2 5 := a vector with x=2 and y=5 calculate the vector magnitudes a 3.162 = 1 2 3 2 + 3.162 = b 5.385 = 2 2 5 2 + 5.385 = calculate the angle of the planar vector using the arc-tangent function atan 3 1 1.249 = atan 3 1 71.565 deg = atan 5 2 1.19 = atan 5 2 68.199 deg = Now use complex number notation to represent the same vectors A13 i + := B25 i + := Use the REAL and IMAGINARY functions to extract the x and y values. Re A () 1 = Im A () 3 = Re B () 2 = Im B () 5 = Calculate magnitudes magA A 3.162 = := magB B 5.385 = := Calculate the angles using the ARG function argA arg A ( ) 1.249 = := argB arg B ( ) 1.19 = := Now use complex Exponential notation to represent the same vectors Using Complex Numbers to Represent Planar Vectors - in MathCad MAG e i ANGLE
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mathcad - vectors and complex numbers - Using Complex...

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