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
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
Problem 1RQ
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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

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 generated by the vectors are shown as follows:
Parallelogram law of vector addition:
If is a vector represents the side of parallelogram and is a vector represents the side .
Then the vector represents the diagonal is the sum of vectors .
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