Answer: = 25. 5 m
Explanation:
- 2-D vectors can be solved using the Pythagorean theorem:
- [tex]a^{2} +b^{2} =c^{2}[/tex]
- The hypotenuse, or longest side is not given and that is what must be solved for
- Direction can be omitted as the question only asks for magnitude
- Magnitude: is the distance or quantity in which an object moves during motion
Solve for C using Pythagorean theorem:
1. [tex]\sqrt{a^{2}+b^{2} }=c[/tex]
2. [tex]\sqrt{22.2 m ^{2} +12.6m^{2} } =c[/tex]
3. [tex]25.52646 m= c[/tex]
- round to lowest number of significant digits when dividing and multiplying
- rounded to 3 significant digits
∴ Magnitude of the vector is 25.5 m
