Question

how do you find the resultant of a vector quantity using scale drawings?

Answer 1

It is probably best to use the head-to-tail method here, since we don't have to deal with angles.

If we can determine the x and y-components of each vector, we can easily find the length of the resultant vector. Let vector 1 have components \(x_1 ~{\rm and}~ y_1\) and vector 2 have components \(x_2~{\rm and}~y_2\).
The length of the resultant is\[L_R = \sqrt{~(x_1+x_2)^2 +(y_1+y_2)^2}\]

We can find the angle of the resultant as\[\tan \theta = {y_1 + y_2 \over x_1 + x_2}\]

Answer 2

just move the scale parallel to it
make head tale comibnation and go by the simple law of addition of vector

Answer 3

use the parallelogram law of vectors as above.