Find vector c × (a + 3b), where a, b, and c are given below. ijk i j k -1 a = 509,b=0 0 1 0 -9i+27i + 29k 8 1, c-i-k 1 -1

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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Find vector \(\mathbf{c} \times (\mathbf{a} + 3\mathbf{b})\), where \(\mathbf{a}\), \(\mathbf{b}\), and \(\mathbf{c}\) are given below.

\[
\mathbf{a} = 
\begin{pmatrix}
5 \\
0 \\
9
\end{pmatrix}, \quad
\mathbf{b} = 
\begin{pmatrix}
0 \\
-1 \\
1
\end{pmatrix}, \quad
\mathbf{c} = 
\begin{pmatrix}
8 \\
1 \\
-1
\end{pmatrix}
\]

Incorrect solution:

\[
-9\mathbf{i} + 27\mathbf{j} + 29\mathbf{k}
\]

(Note: The solution marked with a red cross indicates it is incorrect.)
Transcribed Image Text:Find vector \(\mathbf{c} \times (\mathbf{a} + 3\mathbf{b})\), where \(\mathbf{a}\), \(\mathbf{b}\), and \(\mathbf{c}\) are given below. \[ \mathbf{a} = \begin{pmatrix} 5 \\ 0 \\ 9 \end{pmatrix}, \quad \mathbf{b} = \begin{pmatrix} 0 \\ -1 \\ 1 \end{pmatrix}, \quad \mathbf{c} = \begin{pmatrix} 8 \\ 1 \\ -1 \end{pmatrix} \] Incorrect solution: \[ -9\mathbf{i} + 27\mathbf{j} + 29\mathbf{k} \] (Note: The solution marked with a red cross indicates it is incorrect.)
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