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Let à = -4 (a) Find compab Answer= -15/9 Answer = 8 Answer = and b B (b) Find projab (i.e. the vector/orthogonal projection of onto a). ā. b (i.e. the scalar component of the orthogonal projection of onto a. Aslo known as the scalar component of b in the directon of a). ||al| (c) Find perpab = 6 - projab (i.e. the vector projection of perpendicular (orthogonal) to a. Also known as the component of orthogonal to a).

Let à = -4 (a) Find compab Answer= -15/9 Answer = 8 Answer = and b B (b) Find projab (i.e. the vector/orthogonal projection of onto a). ā. b (i.e. the scalar component of the orthogonal projection of onto a. Aslo known as the scalar component of b in the directon of a). ||al| (c) Find perpab = 6 - projab (i.e. the vector projection of perpendicular (orthogonal) to a. Also known as the component of orthogonal to a).

Advanced Engineering Mathematics
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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Find PROJECTION (i.e. the vector/orthogonal projection of B→ onto A→).

Find PERP→ (i.e. the vector projection of B→ perpendicular (orthogonal) to A→. Also known as the component of B→ orthogonal to A→).

Let ā = (a) Find compab -4 Answer = -15/9 Answer= 8 Answer = and 6 = 3 -1 (b) Find projab (i.e. the vector/orthogonal projection of bonto a). ā.b ||a|| (i.e. the scalar component of the orthogonal projection of b onto a. Aslo known as the scalar component of 6 in the directon of a). (c) Find perpb = b - projab (i.e. the vector projection of perpendicular (orthogonal) to ã. Also known as the component of orthogonal to ā). b
Transcribed Image Text:Let ā = (a) Find compab -4 Answer = -15/9 Answer= 8 Answer = and 6 = 3 -1 (b) Find projab (i.e. the vector/orthogonal projection of bonto a). ā.b ||a|| (i.e. the scalar component of the orthogonal projection of b onto a. Aslo known as the scalar component of 6 in the directon of a). (c) Find perpb = b - projab (i.e. the vector projection of perpendicular (orthogonal) to ã. Also known as the component of orthogonal to ā). b
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