Vector A is 2cm long and 60degree Above the x axis in first quadrant . Vector B is 2cm long and 60degree below the x axis in the fourth quadrant .the sum of vector A and B is a vector of magnitude.

Answer 1

draw a diagram. using the law of cosines, the length of the sum is

x^2 = 2^2 + 2^2 - 2*2*2*cos60°

Answer 2

All angles are measured CCW from +x-axis.

A + B = 2cm[60o] + 2cm[300o].
X = 2*Cos60 + 2*Cos300 = 1 + 1 = 2 cm.
Y = 2*sin60 + 2*sin300 = 1.73 - 1.73 = 0.

A+B = 2 + 0i = 2cm[0o].

Answer 3

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