Which of the following statements is a true statement?
A) A vector can have positive or negative magnitudes.
B) A vector's magnitude cannot be more than the magnitude of one of its components.
C) A vector's magnitude cannot be less than the sum of the magnitude of its components.
D) If the x-component of a vector is smaller than its y-component then that vector is in the opposite direction to its y-component.
E) The magnitude of a vector cannot be zero unless all of its components are zero.

Question

Quizplus · Accepted Answer

The magnitude of a vector is zero only if all of its components are zero, as magnitude is calculated using the square root of the sum of the squares of its components.

Which of the Following Statements Is a True Statement