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

Respuesta :

Answer:

True

Explanation:

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

[tex]v^2 = v_1^2 + v_2^2 + ... +v_n^2[/tex]

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