Д Adding Vector Components Д

 

Vectors	X	Y
A	-11.5	9.6
B	20	N/A
C	N/A	-13

1. Set your Positive Axes.

2. Break all vector down to two components (x and y). To help you keep your thoughts organized, use a graph as shown above.

3. Solve for ∑x and ∑y using the Pythagorean and the trigonometry equations.  

Vector A: 

X = Sin50° x 15km

    = 11.5km

Y= Cos50° x 15km

   = 9.6km

4. Use the Pythagorean to add the two sums of components(∑x and ∑y).

Total

8.5

-3.4

h²=a²+b²

h²=8.5²+3.4²

h²=83.81

h=9km 

5. Use trigonometry to solve for the angle

tanӨ= opp/adj

 = x/y  

      =8.5/3.4

=68°

6. Write your final results.

9 km [S68°E]