What is the first row of a direct cosine matrix from a space A to a space B knowing that: The basis vectors of A are [a, b, c], [d, e, f], and [g, h, i] The basis vectors of B are [1, 0, 0], [0, 1, 0], and [0, 0, 1] 0 0 1 a a a b c e i d g

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Question 9**

What is the first row of a direct cosine matrix from a space A to a space B knowing that:

- The basis vectors of A are \([a, b, c], [d, e, f],\) and \([g, h, i]\)
- The basis vectors of B are \([1, 0, 0], [0, 1, 0],\) and \([0, 0, 1]\)

Options:

- ☐ \(0 \, 0 \, 1\)
- ☐ \(a \, b \, c\)
- ☐ \(a \, e \, i\)
- ☐ \(a \, d \, g\)
Transcribed Image Text:**Question 9** What is the first row of a direct cosine matrix from a space A to a space B knowing that: - The basis vectors of A are \([a, b, c], [d, e, f],\) and \([g, h, i]\) - The basis vectors of B are \([1, 0, 0], [0, 1, 0],\) and \([0, 0, 1]\) Options: - ☐ \(0 \, 0 \, 1\) - ☐ \(a \, b \, c\) - ☐ \(a \, e \, i\) - ☐ \(a \, d \, g\)
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