Answer
$17,20$
Work Step by Step
The formulas for horizontal component $x$ and vertical component $y$ of a vector $\textbf{v}$ having magnitude $|\textbf{v}|$ and direction angle $\theta$ are:
$x=|\textbf{v}|\cos\theta$ and $y=|\textbf{v}|\sin\theta$
Substituting the values of $|\textbf{v}|=26$ and $\theta=50^{\circ}$ in the formulas above,
$x=26\cos50^{\circ}\approx17$
$y=26\sin50^{\circ}\approx20$
Therefore, $|\textbf{v}|=\langle 17,20 \rangle$
