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Work, Scalar Projection and Diagonal of a Cube

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46. Find the work done by a force of 20 lb acting in the direction N50°W in moving an object 4 ft due west.
49. Use a scalar projection to show that the distance from a point P1(x1, y) to the line ax + by + c = 0 is...
Use this formula to find the distance from the point (?2, 3) to the line 3x ? 4y + 5 = 0.
50. Find the angle between a diagonal of a cube and one of its edges.

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We have to compute the scalar product where v is the vector of length 50 and forming an angle of with u, where u has length 4. So
is the work done

We have to find the equation of the line passing ...

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Work, Scalar Projection and Diagonal of a Cube are investigated. The solution is detailed and well presented.

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