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. (7 +J)x1)×] 11. (7 +J)×ī ×J)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

for 10-11, use the Properties of the Cross Product to find,

For vector \(\vec{a} = 3\vec{i} + \vec{j} - \vec{k}\) and \(\vec{b} = \vec{i} - 4\vec{j} + 2\vec{k}\), find \(\vec{a} \times \vec{b}\) and check that it is perpendicular to both \(\vec{a}\) and \(\vec{b}\).
Transcribed Image Text:For vector \(\vec{a} = 3\vec{i} + \vec{j} - \vec{k}\) and \(\vec{b} = \vec{i} - 4\vec{j} + 2\vec{k}\), find \(\vec{a} \times \vec{b}\) and check that it is perpendicular to both \(\vec{a}\) and \(\vec{b}\).
### Vector Cross Product Problems 10. \((\vec{i} + \vec{j}) \times \vec{i} \times \vec{j}\) 11. \((\vec{i} + \vec{j}) \times (\vec{i} \times \vec{j})\) These problems involve the cross product of vectors, a common operation in vector algebra that results in a vector perpendicular to the plane of the input vectors. The expressions require evaluating the vector cross products step by step, adhering to the properties of cross products and vector operations.
Transcribed Image Text:### Vector Cross Product Problems 10. \((\vec{i} + \vec{j}) \times \vec{i} \times \vec{j}\) 11. \((\vec{i} + \vec{j}) \times (\vec{i} \times \vec{j})\) These problems involve the cross product of vectors, a common operation in vector algebra that results in a vector perpendicular to the plane of the input vectors. The expressions require evaluating the vector cross products step by step, adhering to the properties of cross products and vector operations.
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