Posted by Anonymous on Sunday, October 28, 2007 at 1:24pm.
Please show your own work for additional assistance. i did one for you already. It's your turn.
COMPONENTS OF VECTORS
Vectors are not given all the time in the four directions. For doing calculation more simple sometimes we need to show vectors as in the X, -X and Y, -Y components.
components of vector
For example, look at the vector given below, it is in northeast direction. In the figure, we see the X and Y component of this vector. In other words, addition of Ax and Ay gives us A vector. We benefit from trigonometry at this point. I will give two simple equations which you can use and find the components of any given vector.
components of vector
All vectors can be divided into their components. Now we solve an example and see how we use this technique.
Example Find the resultant vector of A and B given in the graph below. (sin30º=1/2, sin60º=√3/2, sin53º=4/5, cos53º=3/5)
vector example
We use trigonometric equations first and find the components of the vectors then, make addition and subtraction between the vectors sharing same direction.
vector example solution
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