Determine resultant of two vectors using Pythagorean theorem

Solved problems in vectorsdetermine resultant of two vectors using the Pythagorean theorem

1. Determine the resultant of the two displacement vectors as shown in the figure below.

Solving vectors problems – determine resultant of two vectors using Pythagorean theorem 1

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2. Find the resultant of two forces, 12 N and 5 N.

Solving vectors problems – determine resultant of two vectors using Pythagorean theorem 2

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3. A student walks 4 meters to the west, then 6 meters to the north and 4 meters to the west. Find the student displacement.

Solution

Solving vectors problems – determine resultant of two vectors using Pythagorean theorem 3

Solving vectors problems – determine resultant of two vectors using Pythagorean theorem 4

Displacement is 10 meter, to the northwest.

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  1. Determine the resultant of in a line vector
  2. Determine vector components
  3. Determine the resultant of two vectors using the Pythagorean theorem
  4. Determine the resultant of two vectors using cosines equation
  5. Determine the resultant of two vectors using components of vectors

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