Normalized and unnormalized steepest descent using exact line search

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"When exact line search is used, scale factors in the descent direction have no effect-so normalized or unnormalized direction can be used"

Please explain this.To my understanding Exact line search

Also this is the definition for 1

Normalized steepest descent

And this is the definition for 2 Unnormalized steepest descent

So once the value of v[nu] is chosen nsd is fixed and unsd is some different value so value of t should be different