A right triangle has two sides plus a hypotenuse so the Pythagorean theorem is perfect for adding two right angle vectors. This Pythagorean approach is a useful approach for adding any two vectors that are directed at right angles to one another. The resultant can be determined using the Pythagorean theorem it has a magnitude of 15.6 km. The sides of the right triangle have lengths of 11 km and 11 km. When the two vectors are added head-to-tail as shown below, the resultant is the hypotenuse of a right triangle. For instance, two displacement vectors with magnitude and direction of 11 km, North and 11 km, East can be added together to produce a resultant vector that is directed both north and east. Earlier in this lesson, we learned that vectors oriented at right angles to one another can be added together using the Pythagorean theorem.
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