Question 814556: ABCD is a quadrilateral. Find the sum of vectors BA , BC , CD DA
Answer by jsmallt9(3758) (Show Source):
You can put this solution on YOUR website! - Draw four points in the shape of some quadrilateral.
- Label the four points A, B, C and D.
- Any point can be A.
- Then go clockwise (or counterclockwise) to the next point and label it B.
- Continue on the same direction to the next point and label it C.
- Label the last point D
- Draw the last three vectors: BC, CD and DA. (Remember, the first letter is where the arrow starts and the second letter is where the arrowhead is.)
- If you look at these last three vectors and if you understand vector addition, you will see that the sum of these three vectors is BA!
- So BA + (BC+CD+DA) = BA + BA = 2BA
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