Pre Calc Test Review

Sum of 2 or more vectors

resultant

Multiplying vectors

direction does not change
magnitude does change

negative vectors

same magnitude
opposite direction

midpoint formula

(X1+X2)/2 + (Y1+Y2)/2

Distance Formula

THE SQUARE ROOT OF
(X2-X1)^2 + (Y2-Y1)^2

component form

i + j

i

positive x-axis

j

positive y-axis

sin
S

opposite/hypotenuse
OH

cos
C

Adjacent/Hypotenuse
AH

tan
T

Opposite/Adjacent
OA

Smaller Glide Angle

You want for longer distance

Larger Denominator

Smaller Glide Angle

point-slope form

y – y1 = m(x – x1)

parallel lines

slope equal
diff. y-intercepts

perpendicular lines(slopes & points)

opposite reciprocals

Slope/Intercept Equation of a Line

y=mx+b

Direction is in

degrees

Magnitude is a

number
#

// method
always measure magnitude from the...

vertex

// method
always measure magnitude from the...

vertex

// method
always draw new lines as...

dashed

Triangle Vector Method
always measure direction of magnitude from...

the vertex

to get the j in component form...

x(sin)y

to get the i in component form...

x(cos)y

3 steps of finding magnitude and direction of component

square root
Q
tan-1

tan-1

y/x

Q1

+x, +y

Q2

-x, +y

Q3

-x, -y

Q4

+x, -y

to find glide ratio

multiply glide angle by tan
tan(glide angle)=glide ratio

GR

height/distance

GA

tan-1(height/distance)