SOLUTION: Add the following vectors:
A=352, Angle A=184 degrees and B=283, Angle B=348 degrees
Can you please help me solve this and show me step by step how to work it? Thanks!
Algebra.Com
Question 824359: Add the following vectors:
A=352, Angle A=184 degrees and B=283, Angle B=348 degrees
Can you please help me solve this and show me step by step how to work it? Thanks!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You can find the x and y components
of each vector, then add x's, then
add y's. The vector sum can then be found
------------------------------------------
------------------------
Note that 184 degrees is in the 3rd
quadrant where both sin and cos are negative
is the angle the
vector makes with the x-axis
-----------------------------
-------------------------
Vector B is in the 4th quadrant where
the cos is positive and sin is negative
is the angle B
makes with the x-axis
----------------------
------------------------------
------------------------------
These magnitudes both being negative means
the resultant vector is in the 3rd quadrant
Call the resultant vector
This is the magnitude of the resultant vector,
-----------------------------
The angle, with the x-axis is:
This angle is in the 3rd quadrant, so I have
to add degrees
-----------------------------
So, the answer is:
111.7354 angle 206.9377
Unless I made an error ( very possible )
-----------------------------------------
This method always works. you might be asked
to do it a different way, but the result
should be the same
hope this helps
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