Consider the ABCDEFGH parallelepiped below F H E A D Rom 1) B+ Eli + GF + AD+ BF: tom 2Which of the vectors below is a representative for the vectorFC + BÉ – BA (a) BC (o) Bb (c) BA (a) FE (e) FA 0 FB answer em 3) AX = D0 + EH – HG + DF + AD then the point Xis answer

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
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attempt first 3 only plz solve it within 30-40 mins
Consider the ABCDEFGH parallelepiped below
G
H
E,
B
C
A
D
tem 1) B+ Eli + GF + AD+ BE
Itom 2Which of the vectors below is a representative for the vectorFC + BÉ – BÁ?
(a) BC
(b) Bb
(c) BA
(a) FE
(e) FA
() FB
answer:
Item 3) If AX = DỞ + EH – Hồ + DẺ + AD then the point X is:
answer
Itom 4) Which of the inear combinations below expresses vector GA.
as incar combination of vectors BẢ, BỞ B,
(a) GẢ = BẢ + BC + BF
(ь) GA-ВА- ВС ВР
(c) GÀ = -BÀ + BC – BF
(d) GA=
() GẢ = BẢ – BỞ – BF
ВА
BC + BF
tem B) Knowing that B = (-5,0,4), DC = (-4,2,1), AD = (-2,8,0) GC = (0,-2,-4), what are the coordinates of the point H?
Transcribed Image Text:Consider the ABCDEFGH parallelepiped below G H E, B C A D tem 1) B+ Eli + GF + AD+ BE Itom 2Which of the vectors below is a representative for the vectorFC + BÉ – BÁ? (a) BC (b) Bb (c) BA (a) FE (e) FA () FB answer: Item 3) If AX = DỞ + EH – Hồ + DẺ + AD then the point X is: answer Itom 4) Which of the inear combinations below expresses vector GA. as incar combination of vectors BẢ, BỞ B, (a) GẢ = BẢ + BC + BF (ь) GA-ВА- ВС ВР (c) GÀ = -BÀ + BC – BF (d) GA= () GẢ = BẢ – BỞ – BF ВА BC + BF tem B) Knowing that B = (-5,0,4), DC = (-4,2,1), AD = (-2,8,0) GC = (0,-2,-4), what are the coordinates of the point H?
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