Question

Vector Addition:
How to get the COMPONENT METHOD

Refer to the Pictures posted

I already have the Answers for Activity 1 & 2
But I do NOT know how to do Activity 3 (Component Method)

Please Help

Answer 1

Tabled are the Answers for Activity 1 & 2 (polygon and parallelogram method, respectively)

Answer 2

+x is to the right; +y is up

Vector A has a length of 3.76 cm and is at an angle of 34.5 degrees above the positive x-direction. Vector B has a length of 4.53 cm and is at an angle of 34.1 degrees above the negative x-direction.

What is the sum (resultant) of the two vectors?

The component method of vector addition is the standard way to add vectors. If C = A + B, then:
Cx = Ax + Bx
Cy = Ay + By





Vector x component y component
A Ax = +3.76 cos(34.5)
Ax = +3.10 cm Ay = +3.76 sin(34.5)
Ay = +2.13 cm
B Bx = -4.53 cos(34.1)
Bx = -3.75 cm By = +4.53 sin(34.1)
By = +2.54 cm
C Cx = Ax + Bx
Cx = -0.65 cm Cy = Ay + By
Cy = +4.67 cm
State the resultant like this:

C = -0.65 cm + 4.67 cm

Or, glue the two components of C together to find the magnitude and direction of C.

C2 = Cx2 + Cy2 = 0.652 + 4.672
C = 4.72 cm

tan(q) = 4.67 / 0.65

q = 82.1 degrees

So, the resultant vector has a magnitude of 4.72 cm and is 82.1 degrees above the -x direction.

Answer 3

I need the Answers for Activity 3 (Component Method)
Also I want to know How to SOLVE it

Answer 4

thats an example of this!!! it might help a little

Answer 5

I still dont get it :(

Answer 6

@jojoj4eva

Answer 7

i dont know what to use
or which numbers to place where

Answer 8

@aaronq