An Introduction to Vector Addition And you

Vector addition applications are very common and you will certainly use the following info. Recall that a vector has both a magnitude (size) and a direction. When you have more than one vector that you need to consider, you need to add the vectors TAIL TO TIP like this… Where the resultant (net) vector, starts at the tail of the first vector and ends at the tip of the last vector...

NOT SO BAD EH????? You try this one

How about three vectors???

What About Numbers then???? Well some situations are fairly easy based on math relationships: a2 + b2 = c2 so: 22 + 32 = ? 2 so: 22 + 32 = ? 3.6!!! ? 2 3

Well what if… we know the magnitude of the net vector – and we want to calculate the magnitude of the x and Y components??? Then we need to review some trig. and practice some calculations… 5 ? ⍬ ?

SOH CAH TOA sin = opposite / hypotenuse ⍬ So if you know the and the hypotenuse you can calculate the opposite EX: = 26O hypotenuse = 14, opposite = ? Sin = opposite / hypotenuse so: sin 26 = opposite / 14 So: .43837 = opposite / 14 so: opposite = 14 (.43837) = 6.1 ⍬ hypotenuse ⍬ opposite ⍬ ⍬ ⍬

SOH CAH TOA Cos = Adjacent / hypotenuse ⍬ So if you know the and the hypotenuse – you can calculate the adjacent EX: = 22O hypotenuse = 14, Adj = ? Cos 22 = Adjacent / hypotenuse so: .927 = adjacent / 14 So: adjacent = .927 (14) = 12.98 ⍬ hypotenuse ⍬ ⍬ ⍬ Adjacent

SOH CAH TOA Tan = opposite / adjacent ⍬ So if you know the and the Adjacent – you can calculate opposite EX: = 24O Adjacent = 17, Opposite = ? Tan 24 = Opposite / adjacent so: .445 = opposite / 17 So: opposite = .445 (17) = 7.56 ⍬ opposite ⍬ ⍬ ⍬ Adjacent

AND THAT IS ALL THE TRIG. WE WILL USE!!!