SOLUTION: The magnitude of vector a is 17, and the magnitude of vector b is 18. The direction, in degrees, for the vector a is 97, and the direction, in degrees, for the vector b is -6.

Algebra ->  Vectors -> SOLUTION: The magnitude of vector a is 17, and the magnitude of vector b is 18. The direction, in degrees, for the vector a is 97, and the direction, in degrees, for the vector b is -6.       Log On


   



Question 986745: The magnitude of vector a is 17, and the magnitude of vector b is 18.
The direction, in degrees, for the vector a is 97, and the direction, in degrees, for the vector b is -6.
What is the magnitude, correct to 2 decimal places, of the vector r, where r = a + b?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X component : 17cos%2897%29%2B18cos%28-6%29=15.8296
Y component : 17sin%2897%29%2B18sin%28-6%29=14.9918
So then the magnitude would be,
abs%28a%2Bb%29=sqrt%2815.8296%5E2%2B14.9918%5E2%29
abs%28a%2Bb%29=21.80