Vectors!

Hope everyone enjoyed the fair and had a good weekend!

-Vector is the same as slope
-Vector addition v+u = <a,b> + <c,d> = <a+b, b+d>
-Vector subtration v-u = <a,b> - <c,d> = <a-c, b-d>
-Scalar multiplication kv = k<a,b> = <ka, kb>
-To find a vecotr from two points so P2 - P1
-Vector equation - (x,y) = (x0,y0) + t(a,b)
-Parameter equations: x = x0 +at     y = y0 + bt
-/v/ = square root of x^2 + y^2 :this equation finds the magnitude of a vector

Example 1: Give the component form of AB and find /AB/

P2 - P1: (3, -2) - (1, -2) = (3-1, -2-2) = <2, -4>

square root of 2^2 + -4^2
= square root of 4 + 6
= square root of 20

Example 2: Find vector of OP and give its component form

P(6, 72 degrees)
x/6 = cos72
x = 6 cos 72
x = 1.854

y/6 = sin72
y = 6 sin 72
y = 5.706

<1.854, 5.706>

Example 3: u = (3,1) v = (-8,4)

u + v
<3 + -8, 1 + 4> = <-5, 5>

--Daniellee