How can I let λ(t) = (t, [1 + t]/t, [1 − t^(2)]/t), w/ t>0 and C=Trace(λ)?
Show that C lies on the plane Γ with equation: x − y + z + 1 = 0
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Show that C lies on the plane Γ with equation: x − y + z + 1 = 0
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substitute x, y, z by lamdha (t)
LHS=t-(1+t)/t+(1+t^2)/t +1
=t-1/t-1+1/t+t+1t-
=0
--->C is on the plane gamma