Question

Find the magnitude of this
vector:

Answer 1

Answer: = 25. 5 m

Step-by-step 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