Formula For Vector Length

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What is the length of the hypotenuse of a right triangle whose two sides are 6 and 8?

Answer:

length2 = 62 + 82 length2 = 36 + 64 = 100 length = 10 Formula for Vector Length 3, 4, 5 Right Triangle

The formula for the length of a 2D vector is the Pythagorean Formula. Say that the vector is represented by (x, y)T. Put the vector with its tail at the origin. Now make a triangle by drawing the two sides:

side_1 = (x, 0)T side_2 = (0, y)T.

The length of side_1 is x, and the length of side_2 is y, so:

length (x, y)T = √( x2 + y2 )

In this formula, √ means the positive square root. We don't (of course) want the length to be negative.

QUESTION 4:

What is the length of the vector represented by ( 4, 3 )T ?

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