Precalculus Review Worksheet 6.1 and 6.3
Name____________________
Part I - Vectors
1) Write vector AB in component form.
A(-1, 4) and B(2, 6)
1) ______
2) Find the magnitude and direction of a  2,2 .
2) ______
3) Find the direction angle of the vector v = 3, 7
4) Define:
a) parametric equations:
3) ______
b) vectors:
5) Given the following : x = 6t – 3 and y = 4-t
a) find values of ( x , y ) for T : [-2,2] and sketch a graph
b) Eliminate the parameter and solve for y.
Part II - Parametrics
6) Eric hits a golf ball with an initial velocity of 200 ft/sec with an angle of
elevation of 30 0 .
a) Write parametric equations to describe the situation.
State the windows you are using as well.
X = _________
Y = _________
T [ , ] __
X [ , ] __
Y [ , ] __
b) Describe what calculations will allow you to answer the
following question.
How far down the fairway does the ball hit the ground?
Part III Calculator.
7) Stephanie hits a baseball with an initial velocity of 150 ft/sec with an
angle of elevation of 20 0 form an initial height of 3 feet. Will she make a
homerun if she is 350 feet away from the 25 foot fence? Explain
completely.
X = ____________ Y = ___________
8) Write parametric equation for the following:
X - equation
a) Line segment thru ( 3, 7) and (-2, 4)
b) Circle centered at origin, radius 9
c) Line thru the points ( 3,-2) and (6,8)
d) Circle with center at (8,-6) and radius 6
e) Served volleyball, 3 feet off ground, at
an angle of 23º w the horizontal, initial
velocity of 85ft/sec
f) A watermelon dropped from a 30 foot
bridge
g) A scooter traveling 30mph
Y - equation
T interval