Vecofrs Flashcards
Magnitude direction firm for a vector
R, theta,
Where r is magnitude
Theta is angle measured from positive x axis anti lok. wise
Component form
In terms of I and j
2hich are the unit vectors which have magnitude one in x and y direction
What is magnitude if the vector also called
The modulus
Convert From magnitude angle form is using cos amd from normal to mangntiufe able?
Find magnitude by squaring and sarurooting
Draw diagram and find angoe
NO , MAGNTIUDE ANGLE FORM HOW DONYOU DI AGLE
it’s angle , anti-clockwise from x posit be, UNTIL IT TOUCHES R!
Multiply and adding?
Lit multiply everything and add I and j separately
For two vectors to be equal, what must they have!
The same magntiude and direction, but they don’t have to start from the same place!
Position before
Just fork 0, so if two have the same then same place
How to do unit vector in thr direction of a vector A
Basically if same direction= parallel, so some multiple must be able to factorise out, and this must also make it one
So find the magnitude and divide bith by this, and this is answe
What about parallel stariaght lines
Parallel has ti have some scalar multiple
Statisght aswlel, but starting from a common ooint
Why do do you do thst thing in vector question
Think about it , there must be something , say x, yiu can take out of the equation so that what’s inside is = to vector, otherwise not possible ti be parallel
Thus if you take out x , gotta divide by x too
Now make two simukatenius
And solve for k!
Remember angles in semicircle 90, so if it is, then longest side dismeter , and can work out whatever circle you want from there