Let a and b be vectors in R?. (a.) Derive the area(2b + 5a, b – 2a) in terms of area(a, b). Explain which property is used in every step of derivation. (b.) Let a = (a1, a2) and b = (b1,b2). The area(a, b) is given by aıb2 - azb1. Compute the area in (a.) when a = (3, -2) and b = (1,1).
Let a and b be vectors in R?. (a.) Derive the area(2b + 5a, b – 2a) in terms of area(a, b). Explain which property is used in every step of derivation. (b.) Let a = (a1, a2) and b = (b1,b2). The area(a, b) is given by aıb2 - azb1. Compute the area in (a.) when a = (3, -2) and b = (1,1).
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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![Let a and b be vectors in R2.
(a.) Derive the area(2b + 5a, b – 2a) in terms of area(a, b). Explain which
property is used in every step of derivation.
(b.) Let a = (a1, a2) and b = (b1,b2). The area(a, b) is given by aıb2 – azb1.
Compute the area in (a.) when a =
(3, –2) and b = (1,1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec84e97f-6283-4e56-a301-8d740ee431d2%2Fb473703d-686a-4ad9-900e-6689b4830888%2F4aoqznj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let a and b be vectors in R2.
(a.) Derive the area(2b + 5a, b – 2a) in terms of area(a, b). Explain which
property is used in every step of derivation.
(b.) Let a = (a1, a2) and b = (b1,b2). The area(a, b) is given by aıb2 – azb1.
Compute the area in (a.) when a =
(3, –2) and b = (1,1).
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