Determine resultant of two vectors using 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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