Vector A is 2.0
+ 3.5
)Vector B is -3.1
- 3)1
)What is A + 2B?
A)-4.2 + -2.7
B)-1.1 - 0.4
C)5.1 + 6.6
D)8.2 + 9.7

Question

Vector ​A is 2.0 
​ + 3.5 
)Vector B is -3.1 
- 3)1 
)What is A + 2B?
A)​-4.2 + -2.7 
B)​-1.1 - 0.4 
C)​5.1 + 6.6 
D)​8.2 + 9.7

Quizplus · Accepted Answer

To find A + 2B, we need to add the corresponding components of A and 2B. The x-component of A is 2.0, the x-component of 2B is 2*(-3.1) = -6.2, so the x-component of A+2B is 2.0 + (-6.2) = -4.2. Similarly, the y-component of A is 3.5, and the y-component of 2B is 2*(-1) = -2, so the y-component of A+2B is 3.5 + (-2) = 1.5. Therefore, A+2B is -4.2 TB6864_11 + 1.5 TB6864_11, which corresponds to choice A.

Vector ​A Is 2.0

Vector A Is 2.0