Learn French: Lequel d'entre vous veut pendre un capitaine loyal ? - Which of you wants to hang a loyal captain?

In French, when you want to say of us, of you, or of them after a pronoun like lequel (which one) or plusieurs (several), you use d'entre followed by a stressed pronoun (nous, vous, eux, elles). It literally means from among you, emphasizing that a single choice is being made out of a specific group.

Since the sentence includes vous, why is the verb conjugated as veut instead of voulez?

The grammatical subject of the sentence is the third-person singular pronoun Lequel (which one), not vous. The phrase d'entre vous simply describes the group you are choosing from. Because Lequel is the subject doing the wanting, the verb conjugates to match it: il veut.

Could I start this sentence with Laquelle d'entre vous?

Yes, but only if you are addressing a group composed entirely of women. Lequel is masculine singular and serves as the default for mixed-gender groups or when the gender of the group members is unspecified.

Why is there no inversion or est-ce que used to make this a question?

When the question phrase itself acts as the subject of the sentence (in this case, Lequel d'entre vous), you do not use inversion or add est-ce que. The sentence structure stays in the standard Subject-Verb-Object order.