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Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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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**Problem Statement:** Find \(\vec{a} \times \vec{b}\), a vector **orthogonal** to both vectors \(\vec{a}\) and \(\vec{b}\). **Given Vectors:** \[\vec{a} = \langle -3, 2, 1 \rangle \quad \text{and} \quad \vec{b} = \langle 4, -2, 5 \rangle\] **Explanation:** The problem involves finding the cross product of two vectors. The cross product \(\vec{a} \times \vec{b}\) results in a vector that is perpendicular (orthogonal) to both \(\vec{a}\) and \(\vec{b}\).
Transcribed Image Text:**Problem Statement:** Find \(\vec{a} \times \vec{b}\), a vector **orthogonal** to both vectors \(\vec{a}\) and \(\vec{b}\). **Given Vectors:** \[\vec{a} = \langle -3, 2, 1 \rangle \quad \text{and} \quad \vec{b} = \langle 4, -2, 5 \rangle\] **Explanation:** The problem involves finding the cross product of two vectors. The cross product \(\vec{a} \times \vec{b}\) results in a vector that is perpendicular (orthogonal) to both \(\vec{a}\) and \(\vec{b}\).
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