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Calculating Components

Calculating Components. Vector Projections. It often becomes necessary to find the projection of one vector across the length of another. When this is required, the procedure is denoted as:. Calculate the following components of u along v. <1,4> and <-2,1> 2. <-2,3> and <1,1>.

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Calculating Components

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  1. Calculating Components

  2. Vector Projections It often becomes necessary to find the projection of one vector across the length of another. When this is required, the procedure is denoted as:

  3. Calculate the following components of u along v • <1,4> and <-2,1> 2. <-2,3> and <1,1>

  4. Work Problems

  5. Let’s try it! A force is given by the vector F = <2,3> and moves an object from the point (1,3) to the point (5,9). Find the work done. -First we calculate the Displacement vector D -Now we calculate So the work done is 26 ft-lbs.

  6. Pulling a Wagon A man pulls a wagon horizontally by exerting a force of 20lbs. On the handle. If the handle makes an angle of 60 degrees with the horizontal, find the work done in moving the wagon 100ft. -Displacement vector. The force on the handle can be written as:

  7. This gives us two vectors to work with: Now we can find the Work done:

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