Vectorssss!

Section on Vectors:

A vector=Slope
vector addition: v+u=+= vector subtraction: v-u= -=
 vector multiplication: kv=k= To find a vector from two points:p2-p1 Vector equation:(x,y)=(x0, y0)+t(a,b) Parametic equations:x=x0+aty=y0+bt absolute value of v= square root of x^2+y^2= magnitude of a vector Example 1: Give the component form of Ab and find the magnitude of AB whenA(2,-2), B(4,-2)
(4,-2)-(2,-2)= (4-2,-2+2) = <2,0> vector square root of 2^2+-0^2= square root of 4+0= square root of 4  magnitude Example 2: Let x= (2,6) and y= (-1,4). Find x+y. (2+-1, 6+4)=(1,10) Example 3: Let x= (4,8) y= (1,4) and z= (-5,-2). Calculate each expression. a. x+y(4+1, 8+4)=<5,12> b. x-y<4-1, 8-4>=<3,4> c. 3y+z<3,12> + <-5,-2>=<-2,10>