Find a vector a with representation given by the directed line segment AB. Draw AB and the equivalent representation starting at the origin. (a) A(1,3), B(4,4) (b) A(1,-2,0), B(1, -2,3) (c) A(4, 0, -2), B(4, 2, 1) Find the sum of the given vectors and illustrate geometrically. (a) <2,3>, <3, -4> (b) < 1,0, 1>, <0,0,1> (c) <0,3,2 >, < 1,0, -3>

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Find a vector a with representation given by the directed line segment AB. Draw
AB and the equivalent representation starting at the origin.
(a) A(1,3), B(4,4)
(b) A(1,-2,0), B(1, -2,3)
(c) A(4,0, -2), B(4, 2, 1)
2. Find the sum of the given vectors and illustrate geometrically.
(a) <2,3 >, <3, -4>
(b) < 1,0, 1>, <0,0,1>
(c) < 0, 3, 2 >, < 1,0, -3>
Transcribed Image Text:1. Find a vector a with representation given by the directed line segment AB. Draw AB and the equivalent representation starting at the origin. (a) A(1,3), B(4,4) (b) A(1,-2,0), B(1, -2,3) (c) A(4,0, -2), B(4, 2, 1) 2. Find the sum of the given vectors and illustrate geometrically. (a) <2,3 >, <3, -4> (b) < 1,0, 1>, <0,0,1> (c) < 0, 3, 2 >, < 1,0, -3>
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