Answer
$26$
Work Step by Step
The magnitude $||v||$ of a vector $v=ai+bj$ is given by the formula:
$||v||=\sqrt{a^2+b^2}$
Hence, using the formula gives
$||v||=\sqrt{10^2+(-24)^2}\\
||v||=\sqrt{100+576}\\
||v||=\sqrt{676}\\
||v||=26$