Which of the following is an accurate statement about vectors?

Question

Which of the following is an accurate statement about vectors?

A. Rotating a vector about an axis is passing through the tip of the vector does not change the vector

B. The magnitude of a vector can be zero even if one of its components is not zero

C.If two vectors have unequal magnitudes it is possible that their vector sum is zero

D. It is possible to add a scalar quantity to a vector

E. The magnitude of a vecotr may be positive even if all of its components are negative

Answer 1

The correct option here would be E.

The magnitude of a vector is found by taking the square root of its components squared.

In other words:

magnitude = √(a² + b²)

where a and b are both components of a vector. Since a and b are both squared, even if they were negative, the square would turn them positive, allowing for only positive magnitudes to be found. Hope this helps!