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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![**Problem 3: Vector Operation**
Find \(3\mathbf{a} + 2\mathbf{b}\) if \(\mathbf{a} = [5, -4, 4]\) and \(\mathbf{b} = [1, 8, 11]\).
**Explanation:**
- The problem is asking you to calculate a linear combination of two vectors, \(\mathbf{a}\) and \(\mathbf{b}\).
- To solve, multiply each component of vector \(\mathbf{a}\) by 3 and each component of vector \(\mathbf{b}\) by 2, then add the corresponding components together.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19245b5f-ae26-4cd9-93a9-b35608880650%2Fb4b5848a-390a-493a-bab2-62e22ef92cce%2Fhgdzp4q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 3: Vector Operation**
Find \(3\mathbf{a} + 2\mathbf{b}\) if \(\mathbf{a} = [5, -4, 4]\) and \(\mathbf{b} = [1, 8, 11]\).
**Explanation:**
- The problem is asking you to calculate a linear combination of two vectors, \(\mathbf{a}\) and \(\mathbf{b}\).
- To solve, multiply each component of vector \(\mathbf{a}\) by 3 and each component of vector \(\mathbf{b}\) by 2, then add the corresponding components together.
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