April 10, 2017
(6.2)Pg.472: 1, 3, 5, 9, 13, 15, 17, 33, 35, 37
April 10, 2017
April 10, 2017
Precal Worksheet(6.1-6.2)
Name: _________________
1. Show RS and PQ are equivalent by showing they represent
the same vector. R(-2,-1), S(2,4), P(-3,-1), Q(1,4).
RS = ________
PQ = ________
April 10, 2017
2. Given P(-2,2) and Q(3,4), find the component form, magnitude,
and direction of the vector PQ.
comp. form = ___________
magnitude = ____________
direction = __________
April 10, 2017
3. Given u = <-1,3> and v = <2, 4>, draw a diagram representing
the sum of u + v. Then find the component form, magnitude,
and direction of the resultant vector u + v.
component form:_________
magnitude: __________
direction: ___________
April 10, 2017
4. Find a unit vector, u, in the direction of v = <3, -2>.
u = _____________
5. Find the component form of the vector, v, with lvl = 13,
o
and direction of 155 .
v = ________________
April 10, 2017
o
6. An airplane is heading at a direction of 130 at 400mph. A
wind is blowing due west at 50mph.
Find:
a. the component form of the plane without the wind.
b. the component form of the wind.
c. the component form of the actual velocity of the plane.
d. the actual speed and direction of the plane.
a. plane = __________
b. wind = ___________
c. p + w = ___________
d. speed = __________
direction: _________
April 10, 2017
7. Given u = -4i + 3j and v = 2i + 5 j, find u v.
u v = _________
8. Using u and v from #7, find the angle between the vectors.
_________
9. Given u = <
-2 5
,
> and v = <10,4> determine if the
3 3
vectors are orthogonal, parallel, or neither.
_________
April 10, 2017
9. Determine whether the vectors are parallel, orthogonal, or
neither.
a.
u = < -3 , -5 > and v = < -3, 20 >
4
b.
u = < -2, 5 > and v = <10, 4 >