Question

The magnitude of a vector can never be less than the magnitude of one of its components. Group of answer choices True False

Answer 1

Answer:

True

Explanation:

As the formula for magnitude of a vector v and their components $v_1, v_2, v_3, v_4,..., v_n$ is

$v^2 = v_1^2 + v_2^2 + ... +v_n^2$

Since $v_1^2, v_2^2, v_3^2, v_4^2,..., v_n^2 \geq 0$, this means the sum of them, $v^2$, is always greater or equal to $v_1^2, v_2^2, v_3^2, v_4^2,..., v_n^2$