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Given the vectors A= 2.00i + 6.00j and B= 3.00i - 2.00j, (a) draw the vector...

Given the vectors A= 2.00i + 6.00j and B= 3.00i - 2.00j, (a) draw the vector sum C= A + B and the vector difference D = A - B. (b) Calculate C and D in terms of unit vectors. (c) Calculate C and D in terms of polar coordinates, with angles measured in respect to the positive x-axis.

Expert Solution

Given the vectors.

(a) draw the vector sum C= A + B and the vector difference D = A - B.

(b) Calcular C y D en términos de vectores unitarios

for vector addition it is necessary to add components

the procedure is similar, when subtracting the vectors, the operation is performed, for components.

for vector addition it is necessary to add components

c) Calculate C and D in terms of polar coordinates, with angles measured in respect to the positive x-axis.

for calculating polar coordinates:
Vector magnitude is calculated using the Pythagorean theorem.
the angle to the x axis is calculated using the trigonometric identity tangent.

Polar coordinates

genius_generous answered 1 month ago

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