• Basic forms
• 向く — to face; to turn toward; to suit / base form
• 向きます — faces; suits / masu form
• 向いた — faced; suited / ta form
• 向いて — face (and…); be suited / te form
• 向かない — does not face; is not suited / negative
• 向けば — if (it) faces / conditional
• 向け — face! / imperative
• Other common forms
• 右を向く — to face right
• 子ども向く — suitable for children
• 北向きの部屋 — a north-facing room
• More
• どこを向いている？ — what are you facing?
• 向いていない — not suited / not appropriate

向く（むく） is a godan verb. It means “to face,” “to turn toward,” or metaphorically “to be suited for.”

• Basic forms
• 向かう — to head toward; go toward / base form
• 向かいます — (I) head toward / masu form
• 向かった — went toward; headed for / ta form
• 向かって — heading toward / te form
• 向かわない — do not head toward / negative
• 向かえば — if (you) head toward / conditional
• 向かえ — head toward! / imperative
• Other common forms
• 学校へ向かう — head toward school
• 東京に向かった — headed for Tokyo
• 問題に向かっている — facing a problem (figurative)
• More
• 向かおう — let’s head toward / volitional
• 向かわなかった — didn’t head toward / negative past

向かう（むかう） is a godan verb. It describes physically heading toward a destination, or metaphorically facing a challenge.