Given the two vectors A = (3.00)î - (1.57)j and B = (-4.00)î + (3.95)j, determine the following for the resultant vector R = 2A + 3B. %3D (a) an expression of the vector in vector notation R = (b) the magnitude of the vector (c) the direction of the vector with respect to the x and y axes ° counterclockwise from the +x axis ° counterclockwise from the +y axis

Question
Given the two vectors A = (3.00)î - (1.57)j and B = (-4.00)î + (3.95)j, determine the following for the resultant vector R = 2A + 3B.
%3D
(a) an expression of the vector in vector notation
R =
(b) the magnitude of the vector
(c) the direction of the vector with respect to the x and y axes
° counterclockwise from the +x axis
° counterclockwise from the +y axis
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Transcribed Image Text

Given the two vectors A = (3.00)î - (1.57)j and B = (-4.00)î + (3.95)j, determine the following for the resultant vector R = 2A + 3B. %3D (a) an expression of the vector in vector notation R = (b) the magnitude of the vector (c) the direction of the vector with respect to the x and y axes ° counterclockwise from the +x axis ° counterclockwise from the +y axis