Which of the following is an accurate statement about vectors?

the magnitude of a vector may be positive even if all of its components are negative.

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

if two vectors have unequal magnitudes, it is possible that their vector sum is zero.

rotating a vector about an axis passing through the tip of the vector does not change the vector.

it is possible to add a scalar quantity to a vector.

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

Explanation:

A vector has both magnitude and direction unlike a scalar which has magnitude only.

A vector can be written in terms of its components:

The magnitude of the vector is given by:

Thus, even if all the components of the vector are negative, the vector can have a positive magnitude.

The magnitude would be non-zero if one of its components is non-zero.

some of two vectors involves summation of magnitudes of of the vector components in the same direction. Two vectors having unequal magnitudes cannot have vector sum zero.

Rotating a vector about an axis passing through the tip of the vector changes the vector as the direction changes.

A scalar quantity cannot be added to a vector as it lacks the direction.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y