21. Let u AB and v= CD, where A = (-1,2), B=(3,5), C = (0, 3), D =(4,-1). a) Find a point Q such that v = BQ and u + v = AQ. → b) Graph u AB, v = CD, v = BQ, and =
21. Let u AB and v= CD, where A = (-1,2), B=(3,5), C = (0, 3), D =(4,-1). a) Find a point Q such that v = BQ and u + v = AQ. → b) Graph u AB, v = CD, v = BQ, and =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 7E
Related questions
Question
![20. Repeat Exercise 19 for u =
BE
and A (0.-1).
21. Let u AB and v= CD, where A = (-1,2),
B=(3,5), C = (0, 3), D = (4, -1).
a) Find a point Q such that v = BQ and
u + v = AQ.
-2
4
-
b) Graph u = AB, v = CD, v = BQ, and
u + v = AQ.
22. Repeat Exercise 21 with A = (-2,4),
B = (1, -3), C = (0, 1), D = (3,5).
23. Let u =
= [₁
3
the point (-2, 1).
a) Find points B and C such that u = AB,
v = AC, and u- v = CB.
-[-
and v =
and v =
-2
and let A denote
27. Let v AB where A = (1, 4) and B = (5.-1).
a) If C= (-2, 7), find D such that 2v = CD.
b) Graph v= AB and 2v = CD.
In Exercises 28-31, find a unit vector u that has the same
direction as the given vector v.
[1]
2
28. v =
30. v = i + j
-[³]
4
31. v = 3i - 2j
29. V =
In Exercises 32-35, determine the terminal point B such
that v= AB.
32. v has the same direction as
4√5, A=(-4,-2).
33. v has opposite direction to
3√10, A=(4,7).
[²].
||v|| =
||v||
=
34. v is parallel to i +2j, A=(3, 1), B is on the
y-axis.
35 y is parallel to i3i
(31) R is on the line](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1967bf9-9404-480e-a3d1-c9049b5b3e32%2Fea60e4ea-b590-4a80-b527-5d284efaf43c%2Fldapnt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:20. Repeat Exercise 19 for u =
BE
and A (0.-1).
21. Let u AB and v= CD, where A = (-1,2),
B=(3,5), C = (0, 3), D = (4, -1).
a) Find a point Q such that v = BQ and
u + v = AQ.
-2
4
-
b) Graph u = AB, v = CD, v = BQ, and
u + v = AQ.
22. Repeat Exercise 21 with A = (-2,4),
B = (1, -3), C = (0, 1), D = (3,5).
23. Let u =
= [₁
3
the point (-2, 1).
a) Find points B and C such that u = AB,
v = AC, and u- v = CB.
-[-
and v =
and v =
-2
and let A denote
27. Let v AB where A = (1, 4) and B = (5.-1).
a) If C= (-2, 7), find D such that 2v = CD.
b) Graph v= AB and 2v = CD.
In Exercises 28-31, find a unit vector u that has the same
direction as the given vector v.
[1]
2
28. v =
30. v = i + j
-[³]
4
31. v = 3i - 2j
29. V =
In Exercises 32-35, determine the terminal point B such
that v= AB.
32. v has the same direction as
4√5, A=(-4,-2).
33. v has opposite direction to
3√10, A=(4,7).
[²].
||v|| =
||v||
=
34. v is parallel to i +2j, A=(3, 1), B is on the
y-axis.
35 y is parallel to i3i
(31) R is on the line
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