Solved: ?Find the cross product \(\mathbf{a} \times \mathbf{b}\) and verify that it is

Chapter 12, Problem 6

(choose chapter or problem)

Find the cross product \(\mathbf{a} \times \mathbf{b}\) and verify that it is orthogonal to both a and b.

\(\mathbf{a}=\mathrm{t} \mathbf{i}+\cos \mathrm{t} \mathbf{j}+\sin \mathrm{tk}\),          \(\mathrm{b}=\mathrm{i}-\sin \mathrm{t} \mathrm{j}+\cos \mathrm{t} \mathrm{k}\)

Equation Transcription:

ab 

a = ti + cos tj + sin tk         

b = i ー sin tj + cos tk

Text Transcription:

a times b

a = ti + cos tj + sin tk         

b = i ー sin tj + cos tk

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