(a) (₁, ₂) (b) (r1,73) (c) (r2,73) r₁= [3 -1 0], (d) r1 xr2 (e) ri Xr3 (f) r₂ × 3 r₂ = [-2 0 1], T3 = [1 -2 4]. (g) What is the area of the parallelogram formed by r₁ and r₂? (h) What is the area of the parallelogram formed by r₁ and r3? (i) What is the area of the parallelogram formed by r2 and r3? (j) What is the volume of the parallelepiped formed by r₁, 72, and r3?

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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please answer D, G and J thanks 

(a) (r1, r₂)
(b) (r1,73)
(c) (r2, r3)
(d) r1 xr2
(e) r1 Xr3
(f) r₂ × 3
T1 =
[3 -1 0],
r₂ = [-2 0 1], T3 = [1 −2 4].
(g) What is the area of the parallelogram formed by r₁ and r₂?
(h) What is the area of the parallelogram formed by r₁ and r3?
(i) What is the area of the parallelogram formed by r₂ and r³?
(j) What is the volume of the parallelepiped formed by r₁, 72, and r3?
Transcribed Image Text:(a) (r1, r₂) (b) (r1,73) (c) (r2, r3) (d) r1 xr2 (e) r1 Xr3 (f) r₂ × 3 T1 = [3 -1 0], r₂ = [-2 0 1], T3 = [1 −2 4]. (g) What is the area of the parallelogram formed by r₁ and r₂? (h) What is the area of the parallelogram formed by r₁ and r3? (i) What is the area of the parallelogram formed by r₂ and r³? (j) What is the volume of the parallelepiped formed by r₁, 72, and r3?
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