The initial and terminal points of a vector v are given. Terminal Initial Point Point (-1, -1) (0, -5) (a) Sketch the given directed line segment. y 6r y 4 4 -6 -4 -2 -6 -4 -2 2 -64 y 6 4 -6 -4 -2 -6 -4 -2 -2 -4 -4 -6 (b) Write the vector in component form. (V1, v2) =| (-1,1) (c) Write the vector as the linear combination of the standard unit vectors i and j. V =

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 initial and terminal points of a vector v are given.
Terminal
Initial Point Point
(0, -5)
(-1, -1)
(a) Sketch the given directed line segment.
y
61
6r
4
4
2
-6
-4
-2
-6
-4
-2
14
y
6r
X
-6
-4
-6
-4
-2
-2
-2
-4
-6
(b) Write the vector in component form.
(V1, v2) =(-1,1)
(c) Write the vector as the linear combination of the standard unit vectors i and j.
V =
Transcribed Image Text:The initial and terminal points of a vector v are given. Terminal Initial Point Point (0, -5) (-1, -1) (a) Sketch the given directed line segment. y 61 6r 4 4 2 -6 -4 -2 -6 -4 -2 14 y 6r X -6 -4 -6 -4 -2 -2 -2 -4 -6 (b) Write the vector in component form. (V1, v2) =(-1,1) (c) Write the vector as the linear combination of the standard unit vectors i and j. V =
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