Given:
Vector A = 35m South
Resultant vector = 71m southeast.
Let's solve for vector B.
Let's first sketch a figure that represents the situation.
Here x represents vector B.
To solve for x, apply Pythagorean theorem:
[tex]x=\sqrt[]{c^2-a^2^{}}[/tex]Where:
c = 71 m
a = 35 m
Thus, we have:
[tex]\begin{gathered} x=\sqrt[]{71^2-35^2} \\ \\ x=\sqrt[]{5041-1225} \\ \\ x=\sqrt[]{3816} \\ \\ x=61.8\text{ m}\approx62\text{ m} \end{gathered}[/tex]Therefore, vector B is 62m east.
ANSWER:
62m east.
