Pythagorean Resultant Vector Homework
Directions: Construct the resultant vectors from the parallelograms below and do the calculations to
determine the length of the resultant. YOU MUST SHOW ALL MATH,
What is the formula for the Pythagorean theorem?___________________________________________
When is it appropriate to use the Pythagoream theorem? _____________________________________
1)
The horizontal vector represent 15 Km and the vertical vector represents 5 Km.
2) Thelongerdiagonalvectorrepresents8metersandtheshorterdiagonalvectorrepresents6
meters.
3) Thelongerdiagonalvectorrepresents22cmandtheshorterdiagonalvectorrepresentsa3cm
vector.
4) Drawacompassrosetoshowdirectionstoyourvectors.Drawavectorrepresenting12Kmnorth
andanadditionalvectorgoing6Kmeast.Whatistheresultantvectorandcalculateitsmagnitude.
5) Againdrawacompassrosetoshowdirections.Drawavectordiagramwithavectorrepresenting
17mmNWandanothervectorrepresenting11mmNE.Findanddrawtheresultantvectorandits
magnitude.
6) Drawacompassrosetoshowdirections.Drawavectordiagramwithavectorrepresenting
21milesSEandanothervectorrepresenting17milesNW.Drawtheresultantandfindits
magnitude.