Vectors are two points that make up a diagonal line in a graph. It has a an x and y component. Vectors are always straight lines.
*vector-slope
*vector addition: v+u= <a,b> + <c+d> = < a+c, b+d>
*vector subtraction: v-u = <a,b> - <c,d> = <a-c , b-d>
*scalar multiplication: kv = k<a,b> + <ka, kb>
*To find a vector from two points use the equation P2 - P1
*vector equation: (x,y) = (x, y) + t<a,b>
*parametric equations:
x=x + at
y=y + yt
*magnitude of a vector : v=squareroot of x^2 = y^2
*If uses begining of alphabet (a,b,c,d) its a point
*If uses end of alphabet (w,x,y,z) its a vector
EX1 Express A(3 , 2) and B(4 , 3) in component form.
P2-P1
(4,3) - (3,2) = (1,1)
to express in component form find magnitude
squareroot 1^2 + 1^2 =1
EX2 Write the vector eqution for a horizontal line through (2,3)
(x,y) = (2,3) + t <1,0>
for horizontal vectors are 1,0
for vertical vectors are 0,1
