Two vectors and are added together giving vector . The magnitude of C is such that C = . If the magnitudes of both vectors and are doubled, the magnitude of vector will
A) increase by a factor of 8.
B) increase by a factor of 4.
C) increase by a factor of 2.
D) increase by a factor of .
E) not change.

Question

Two vectors  and  are added together giving vector  . The magnitude of C is such that C =  . If the magnitudes of both vectors  and  are doubled, the magnitude of vector  will
A) increase by a factor of 8. 
B) increase by a factor of 4. 
C) increase by a factor of 2. 
D) increase by a factor of . 
E) not change.

Quizplus · Accepted Answer

Since we are only doubling the magnitudes of both vectors and adding them, the resulting vector will also be doubled in magnitude. Therefore, the magnitude of vector 11ea6ebb_72c5_da3f_9d78_275e3a60b198_TB6213_11 will increase by a factor of 2.

Two Vectors and Are Added Together Giving Vector