Solved problems in vectors – determine resultant of in a line vector

1. A student walks north as far as 10 meters and then to the south as far as 4 meters. Displacement of the student is…

Solution

R = 10 m – 4 m = 6 meters

Magnitude of displacement is 6 meters, direction of displacement is north.

2. F_{1} = 10 N, F_{2} = 15 N. Determine resultant vector…

Solution

R = 10 N + 15 N = 25 Newton

Magnitude of resultant vector is 25 Newton, direction of resultant vector is east or rightward.

3. F_{1} = 4 N, F_{2} = 8 N. Determine resultant vector…

Solution

R = 8 N – 4 N = 4 Newton

Magnitude of resultant vector is 4 Newton, direction of resultant vector is east or rightward.

4. F_{1} = 10, F_{2} = 15 N, F_{3} = 5 N. Determine resultant vector…

Solution

R = 10 N + 5 N – 15 N = 0

The magnitude of the resultant vector is 0.

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