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Straferunning




A player starts at an arbitrary point and presses a button causing them to travel forwards at a velocity of, for example, 1 "unit" per Second . At the same time, the player presses another button causing them to move to the right at the same speed.

a = '''j''' = '''1''' and '''b''' = '''i''' = '''1'''

a + '''b''' = '''i''' + '''j''' = '''2'''

Then by Pythagoras' Theorem , the length of vector a + '''b''' (in other words, the speed at which the player travels) is: