How do I find the basis for these two vectors? Do vectors wi = 2+ x and w2 = 3 – x, span Pi(R)E ExpandTranscribed Image TextDo vectors wi = 2+ x and w2 3- X, Span P1(R)V Expert AnswerStep 1Do vectorsw, = 2+1Si W2 = 3-Spans RR)eta+ba E P. (R)Step 2Nowatbn = pwit qwzat ba= P(2+a)+9(3-2)(2P4 34) + (P-9)<atba =2p+39 =9P-9=6Solving bol55= 4-269= 9-26=) P = b+q=b+ 8~26P = a+3bThen atbr =+36 (2+a) +i> atbn= Gt3b w, +9+36=) W, Wz Spens PCIR)

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Do vectors wi = 2+x and w2 = 3 – x, span P1 (R) E Expand

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

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How do I find the basis for these two vectors?

Do vectors wi = 2+ x and w2 = 3 – x, span Pi(R)
E Expand
Transcribed Image Text
Do vectors wi = 2+ x and w2 3- X, Span P1(R)
V Expert Answer
Step 1
Do vectors
w, = 2+1
Si W2 = 3-
Spans RR)
et
a+ba E P. (R)
Step 2
Now
atbn = pwit qwz
at ba= P(2+a)+9(3-2)
(2P4 34) + (P-9)<
atba =
2p+39 =9
P-9=6
Solving bol5
5= 4-26
9= 9-26
=) P = b+q=b+ 8~26
P = a+3b
Then atbr =
+36 (2+a) +i
> atbn= Gt3b w, +
9+36
=) W, Wz Spens PCIR)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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