1. Find the component form of the vector representing the velocity of a boat traveling at 8 knots, or nautical miles per hour, with a bearing of N 53-degrees W.

2. A force of 703 pounds is needed to push a stalled car up a hill inclined at an angle of 16-degrees to the horizontal. Find the weight of the car. Ignore friction.

3. The vectors U and V are orthogonal. Find the value of a.
U= {a,-7}, v= {42,-30}

4. A horizontal force of 80 pounds is applied to an object as it is pushed up a ramp that is 13 feet long. Find the work done if the ramp is inclined at an angle of 40-degrees above the horizontal.

5. Find the indicated roots of the complex number. Fifth roots of 32.

1. Find the component form of the vector representing the velocity of a boat traveling at 8 knots, or nautical miles per hour, with a bearing of N 53-degrees W.
Using i represent the N direction and j represent the W direction, then we got the vector ...

Solution Summary

This shows how to work on word problems involving vectors and force.

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... The forces are: When we write the vectors in Cartesian notations we get: Vector Magnitude. Angle with x-axis Horizontal component Vertical component. ...