I need help with this i have a few other questions done and this is tripping me up. Problem 4. Calculate the value of the forms
\omega _(1)=dx_(1),\omega _(2)=x_(1)dx_(2)
, and
\omega _(3)=dr^(2)(r^(2)=x_(1)^(2)+x_(2)^(2))
on the vectors
\xi _(1),\xi _(2)
, and
\xi _(3)
(Figure 142).

Question

I need help with this i have a few other questions done and this is tripping me up. Problem 4. Calculate the value of the forms

\omega _(1)=dx_(1),\omega _(2)=x_(1)dx_(2)

, and

\omega _(3)=dr^(2)(r^(2)=x_(1)^(2)+x_(2)^(2))

on the vectors

\xi _(1),\xi _(2)

, and

\xi _(3)

(Figure 142).

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