Answer
The values of the components of the vector are $-\text{258}\text{.1}\mathbf{i}\text{+368}\text{.6}\mathbf{j}$.
Work Step by Step
Speed of plane in the direction of north-west = 450 miles per hour.
The angle of inclination of the plane in the direction of north-west $=35{}^\circ .$
The vector`s direction angle from the positive axis to V is $\theta =90{}^\circ +35{}^\circ =135{}^\circ $.
The vector component along the x- axis or horizontal is i and the vector component along the y- axis or the vertical direction is j.
As the plane is travelling at 450 miles per hour.
So,
$\left| \left| \mathbf{v} \right| \right|=450$
Therefore, the equation becomes as:
$\begin{align}
& \mathbf{v}=\left| \left| \mathbf{v} \right| \right|\text{cos}\theta \mathbf{i}+\left| \left| \mathbf{v} \right| \right|\text{sin}\theta \mathbf{j} \\
& =\text{450cos125}{}^\circ \mathbf{i}+\text{450sin125}{}^\circ \mathbf{j} \\
& =\text{450}\left( -\text{0}\text{.57} \right)\mathbf{i}+\text{450}\left( \text{0}\text{.82} \right)\mathbf{j} \\
& =-\text{258}\text{.1}\mathbf{i}+\text{368}\text{.6}\mathbf{j}
\end{align}$
