Could verbぞ be an order or request?

Question

For example:

負けないぞ

頑張るぞ

Could these sentences be used to ask other people to perform things above?

Answer 1

Answer is, no.

Following are not orders, not requests:

• あなたは頑張るぞ (you)
• あなたたちは頑張るぞ (you guys)
• 彼は頑張るぞ (he)
• 彼らは頑張るぞ (those guys)
• みんなは頑張るぞ (everyone)
• 私は寝るけどみんなは頑張るぞ (everyone except for me)

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Following may be subjective:

• 私たちは頑張るぞ (we)
• みんなで頑張るぞ (us)

These are not orders, not requests, but has the nuance " let's 頑張る ". If your boss says 「みんなで頑張るぞ」 (let's do this together) you can consider that's an order or being voluntold.