051 (0) 20129105) 051 2012910201291052 202910 051 20129105) [ 2012910(i) 701291051 2012= {(0,0), (1, 1)30129105 2012910 ER}U {(v.21291051- 201291051 2012910 201291051 2012910 VER}. 20129105 UR². 201291051 201291051 2012910 201291051 201291051 2017910 701292051 01291051 2012910 29105 (2, 2):. 1291051
051 (0) 20129105) 051 2012910201291052 202910 051 20129105) [ 2012910(i) 701291051 2012= {(0,0), (1, 1)30129105 2012910 ER}U {(v.21291051- 201291051 2012910 201291051 2012910 VER}. 20129105 UR². 201291051 201291051 2012910 201291051 201291051 2017910 701292051 01291051 2012910 29105 (2, 2):. 1291051
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
Related questions
Question
plz provide handwritten answer for question 4 part d asap for getting upvote
![4. (a)
2012910 (a, a, a), v₂= (a.a+1, a +1) and v3 = (a, a, a + 1) linearly independent? 201291051
0 Let a be a real number. For which values of a are the vectors V₁
051 2012(b)
129105
051 201291
129105
by the vectors {V₁, V₂, V3} from part (a).
For each value of a, find the dimension of the subspace of R³ spanned 1051
(c)
20122105
(d)
R³?
For which values of a
20129173) form a basis f
For each of the following subsets of R2, either show that it is 391051
2012910 Subspace of R², or explain why it is not a subspace of R2.
9105
in part (a) does
{v₁,
051
1051
(i)
201291
20129105
051 20129105
for 1051
201051
20129102012910520291051,
1051
051 2012910 (ii)
051
20129 a
201291051 2012915 91051
{(0,0), (1, 1), 1291051,
0510127= {(r,r): r ERU{(y. 2y): y ER}.
2012
201291051
051 2012910 (1)
051 201291051
701291051
201291ER}U {(
20129105
201291051
201291051 201291051 201291051
201291051
201291051
201291051 201291051
1201291051 201291051
201291051
20129105 U= P²
201291051 201291051
771291051
701291051
201291051 201291051
701291051 201291051 201291051 201291051
701291051 201291051 201201051
701291051 201291051
701291051](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15b83e49-59e4-47d9-b78d-c9ea0b2f7e1d%2F2f08bb9e-efd1-41bf-b190-5fbf8686aa14%2F48y959r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. (a)
2012910 (a, a, a), v₂= (a.a+1, a +1) and v3 = (a, a, a + 1) linearly independent? 201291051
0 Let a be a real number. For which values of a are the vectors V₁
051 2012(b)
129105
051 201291
129105
by the vectors {V₁, V₂, V3} from part (a).
For each value of a, find the dimension of the subspace of R³ spanned 1051
(c)
20122105
(d)
R³?
For which values of a
20129173) form a basis f
For each of the following subsets of R2, either show that it is 391051
2012910 Subspace of R², or explain why it is not a subspace of R2.
9105
in part (a) does
{v₁,
051
1051
(i)
201291
20129105
051 20129105
for 1051
201051
20129102012910520291051,
1051
051 2012910 (ii)
051
20129 a
201291051 2012915 91051
{(0,0), (1, 1), 1291051,
0510127= {(r,r): r ERU{(y. 2y): y ER}.
2012
201291051
051 2012910 (1)
051 201291051
701291051
201291ER}U {(
20129105
201291051
201291051 201291051 201291051
201291051
201291051
201291051 201291051
1201291051 201291051
201291051
20129105 U= P²
201291051 201291051
771291051
701291051
201291051 201291051
701291051 201291051 201291051 201291051
701291051 201291051 201201051
701291051 201291051
701291051
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