How To Find The Magnitude Of A Vector 7 Steps With Pictures

For example, the vector above has a horizontal component of 3 and a vertical component of -5, therefore the ordered pair is <3, -5>.

x2 + y2 = v2 v = √(x2 + y2))

For example, v = √((32+(-5)2)) v =√(9 + 25) = √34 = 5. 831 Don’t worry if your answer is not a whole number. Vector magnitudes can be decimals.

For example, the vector AB has an ordered pair for point A and point B. Point A has a horizontal component of 5 and a vertical component of 1, so the ordered pair is <5, 1>. Point B has a horizontal component of 1 and a vertical component of 2, so the ordered pair is <1, 2>.

Point A is ordered pair 1 <x1, y1> and point B is ordered pair 2 <x2, y2>

v = √((x2-x1)2 +(y2-y1)2) v = √((1-5)2 +(2-1)2) v = √((-4)2 +(1)2) v = √(16+1) = √(17) = 4. 12 Don’t worry if your answer is not a whole number. Vector magnitudes can be decimals.