This is my blog for this week. Vectors A vector is a 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+at y=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 when A(1,-2), B(3,-2) (3,-2)-(1,-2)= (3-1,-2+2) = <2,0> vector square root of -4^2+-3^2= square root of 16+9= square root of 25 = 5 magnitude Example 2: Let u= (3,1) and v= (-8,4). Find u+v. (3+-8, 1+4) =(-5,5) Example 3: Let u= (3,1) v= (-8,4) and w= (-6,-2). Calculate each expression. a. u+v (3+-8, 1+4) =<-5,5) b. u-v <3+8, 1-4> =<11,-3> c. 3u+w <9,3> + <-6,-2> =<3,1> Have a lovely day.