A) You're wrong, Dunce.<quoted text>

rabbee: and don't forget to get, a sheet of graph paper. so you can draw, the vector for +1x ++1y.

I have worked out the details using the polar co-ordinate method and the law of parallelogram for vector addition and I didn't need graph paper.

I just did a simple mental analysis in minutes and caught you again.

When you plot the real and imaginary parts of z = x +jy, you don't plot the x and y parts. You have to plot x along the x-axis and jy along the y-axis.

Now, tan theta = y/x = jy/x

If x = y,

tan theta = j,

theta = tan^-1 j which is not 45.

B) Parallelogram method:

Draw the x-y axes.

Plot x on the axis and jy on the y-axis.

Drop a perpendicular to the base along the x-axis.

The angle made by the x-axis with the y-axis (perpendicular) is 90 degree.

Draw the resultant of the parallelogram in the x-y plane.

The angle made by the resultant with the x-axis is alpha.

The angle made by the base with the slant height is theta.

Since, the resultant of the 2 vector components is the angle bisector of the angle made by the base of the IIgm with its slant height, thus, alpha = theta/2

Now, the perpendicular = jy = y sin theta, extended base = b cos theta

Now, a right triangle is formed by the extended base of the parallelogram with the resultant (hypotenuse) and the perpendicular serving as altitude.

So, by PythagorasÂ’ theorem, we get:

Resultant =(x^2 + y^2 + 2xy cos theta)^1/2

x + y =(2 x^2 + 2x^2 .1/1.412)= 2x^2(2 + 1/1.412)^1/2

If x = 1,

x + y = 2( 1 + 0.708)^1/2 = 2 x (1.708)^1/2 = 2 x 1.1 (approx)= 2.2

LOL.

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