Vectors and
Are shown in the figure. What is
?
A) 31.8
B) -32.0 - 2.00
C) 1028
D) 34.0
E) -2.00 - 32.0

Question

Vectors  and 
Are shown in the figure. What is 
? 
A) 31.8 
B) -32.0 - 2.00 
C) 1028 
D) 34.0 
E) -2.00 - 32.0

Quizplus · Accepted Answer

We can use the Pythagorean theorem to find the magnitude of the vector 11ea8401_fc14_da06_aeff_31a6f2ff41f5_TB6682_11 which is approximately 40.2 units. Then, we can use the angle shown in the diagram and some trigonometry to find the x-component and y-component of the resultant vector. Adding these components together, we get a value of approximately 31.8 units.