having trouble with this one
The vector sum of all these vectors would be your answer.
But you need to express every vector in the form, ---> The components of your vector.
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In order to solve this problem we need to develope a formula. Let be the angle from the x-axis (meaning measure conterclockwise).
Then if are the endpoints of the vector. The length is . And
In order to solve this problem. You need to solve for both
More simply,
Now, divide the second equation by the first to get, (it is nonzero)
Thus,
Similary,
As a result we have converstion formula:
If the the endpoints of a vector having length and angle meausured from the x-axis then,
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Now construct a chart in terms of , i.e. counterclockwise angle.
Therefore you new table is,
Now use the converstions formula posted above to find the coordinates.
So you have,
Now by the rule of vectors you can add their components thus,
Now compute the length,