Solving Cartesian Vector Problems: |D|, |E|, D+E, E-D

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To solve for the magnitudes |D| and |E|, the vectors D and E are defined as D=3i–2j and E=–7i+5j. The magnitude of a vector is calculated using the formula |V| = √(x² + y²), where x and y are the components of the vector. For vector D, the magnitude |D| is √(3² + (-2)²) = √13, and for vector E, |E| is √((-7)² + 5²) = √74. The resultant vectors D+E and E-D can be found by adding and subtracting their components respectively. Understanding how to visualize and calculate these vectors is crucial for solving Cartesian vector problems.
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Homework Statement



If D=3i–2j and E=–7i+5j … (a) What is |D|? (b) What is |E|?
(c) What are the vectors D+E and E–D?

!THERE ARE SUPPOSED TO BE HATS OVER THE VARIABLES!


I would put up an attempt at the problem if I even knew how to attempt it.
 
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|D| just means the magnitude of the vector D, how do you find the magnitude of a vector?
 
so does that just mean D= (3,2)?
 
mwhowell said:
so does that just mean D= (3,2)?

If you draw the vector. Starting at the origin, you'd go 3 units in the x-direction and 2 units in the negative y-direction. Join the ending of this point back to the origin. The length of the diagonal is the magnitude of the vector.
 

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