The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V₂ in R². Part 1 B = < -1.4 > C C= < -5.0 > 4₂ A Write each point as a sum of scalar multiples of v₁ and v₂. Enter v1 for V₁ and v2 for v₂. A = v1 V1 D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V₂ in Rʻ.
Part 1
A = v1
B =
C =
D-
< -1.4 >
Write each point as a sum of scalar multiples of v₁ and v₂. Enter v1 for v₁ and v2 for v2.
<-5,0>
B
73-21
C
vo
A
V1
D
Transcribed Image Text:The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V₂ in Rʻ. Part 1 A = v1 B = C = D- < -1.4 > Write each point as a sum of scalar multiples of v₁ and v₂. Enter v1 for v₁ and v2 for v2. <-5,0> B 73-21 C vo A V1 D
Part 1
Part 2
AB= -3v1 + 3v2
BACA = -4v1 - 4v2
C - 8v2
B
D-8DA=
C
Write each vector as a sum of scalar multiples of v₁ and v₂. Enter v1 for v₁ and v2 for V₂.
v₂
5.
D
> <
Transcribed Image Text:Part 1 Part 2 AB= -3v1 + 3v2 BACA = -4v1 - 4v2 C - 8v2 B D-8DA= C Write each vector as a sum of scalar multiples of v₁ and v₂. Enter v1 for v₁ and v2 for V₂. v₂ 5. D > <
Expert Solution
Step 1

The given points A,B,C,D generated by the vectors v1,v22 are shown as follows:

Advanced Math homework question answer, step 1, image 1

Parallelogram law of vector addition:

If v1 is a vector represents the side AB of parallelogram ABCD and v2 is a vector represents the side AD.

Then the vector w represents the diagonal AC is the sum of vectors v1+v2.

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