Question #122187

The figure here below shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector 2D1 + D2?

10

Expert's answer

If the figure is the same as here:





then the answer is the following.

1. Let's plot the vector 2D12D_1, which is the initial vector just with double length:



2. Now let's find the vector −2D1-2D_1, which has the same length but opposite diraction with the 2D12D1:



3. Finally, let's add the vectors D2D_2 and −2D1-2D_1 to obtain the given expression. Using the the parallelogram method (see dashed lines):


Thus, the answer seems to be the first one (a).


Answer. a.


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