Question

Find the magnitude of this vector:

Answer 1

Answer: = 25. 5 m

Explanation:

• 2-D vectors can be solved using the Pythagorean theorem:  
• $a^{2} +b^{2} =c^{2}$
• 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. $\sqrt{a^{2}+b^{2} }=c$

2.  $\sqrt{22.2 m ^{2} +12.6m^{2} } =c$

3. $25.52646 m= c$

• round to lowest number of significant digits  when dividing and multiplying
• rounded to 3 significant digits

∴ Magnitude of the vector is 25.5 m