SOLUTION: Add the vectors a=(0,7), and b=(11,0), and find the magnitude and angle from the horizontal of the resultant vector.

Algebra ->  Points-lines-and-rays -> SOLUTION: Add the vectors a=(0,7), and b=(11,0), and find the magnitude and angle from the horizontal of the resultant vector.       Log On


   

Question 1183443: Add the vectors a=(0,7), and b=(11,0), and find the magnitude and angle from the horizontal of the resultant vector.
Answer by 4419875(21) About Me  (Show Source):
You can put this solution on YOUR website!
We know that the resultant is the sum of two vectors, vector a and b. Hence,
r=<0+11,7+0>
r=<11,7>
where r is the resultant
the formula of the magnitude is given by the absolute of the vector(s)
|r|=sqrt%28%28x%5E2%29%2B%28y%5E2%29%29
|r|=sqrt%28%2811%5E2%29%2B%287%5E2%29%29
solve the value for your self
For the angle, Θ=arctan%28y%2Fx%29, in which we refer from the resultant vector's values.Therefore
Θ=arctan%287%2F11%29
*Note: two answers are to be yielded either in the radian form or degrees form. Be sure to check what unit is to be outputted from your calculator