SOLUTION: find the magnitude of vector AB in problem 12. leave answer in simplest radical form. problem point A (-5,8) and B (3,4)

Question 202526This question is from textbook Geometry
: find the magnitude of vector AB in problem 12. leave answer in simplest radical form. problem point A (-5,8) and B (3,4) This question is from textbook Geometry

Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
To get from point A to point B, you go to the right 8 units and down 4 units. The magnitude of a vector is its length. If you draw the 8-unit width and 4-unit height on the graph with the vector, you have a right triangle. So you can use the Pythagorean Theorem to find the length of the hypotenuse, which is the vector here. a^2+b^2=c^2, so 8^2+(-4)^2=c^2, so c^2=64+16=80. So the magnitude of the vector is the square root of eighty, or about 8.9. (You could also have found this using the Distance Formula.)
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