Given vectors 3 = (2, 1, 3) and w = (0, 1, – 1), answer the followings: (a) 7 . ở (b) ở × ở (c) ||27 + 3u|| (d) Are the vectors ở and w orhogonal?

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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1. Given vectors \(\vec{v} = \langle 2, 1, 3 \rangle\) and \(\vec{w} = \langle 0, 1, -1 \rangle\), answer the following:

(a) \(\vec{v} \cdot \vec{w}\)

(b) \(\vec{v} \times \vec{w}\)

(c) \(\|\ 2\vec{v} + 3\vec{w}\ \|\)

(d) Are the vectors \(\vec{v}\) and \(\vec{w}\) orthogonal?
Transcribed Image Text:1. Given vectors \(\vec{v} = \langle 2, 1, 3 \rangle\) and \(\vec{w} = \langle 0, 1, -1 \rangle\), answer the following: (a) \(\vec{v} \cdot \vec{w}\) (b) \(\vec{v} \times \vec{w}\) (c) \(\|\ 2\vec{v} + 3\vec{w}\ \|\) (d) Are the vectors \(\vec{v}\) and \(\vec{w}\) orthogonal?
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