WEST PALM BEACH, Fla. — Vice President Mike Pence on Sunday described North Korea’s failed missile test as “a provocation” that highlighted the risks plaguing both the region and the United States, as the White House said President Trump had an array of military, diplomatic and other options to respond.

“This morning’s provocation from the North is just the latest reminder of the risks each one of you face each and every day in the defense of the freedom of the people of South Korea and the defense of America in this part of the world,” Mr. Pence said at an Easter dinner at Yongsan military base in Seoul, South Korea, where he was beginning a 10-day tour of Asia.

Mr. Pence said he had spoken with Mr. Trump, who asked him to convey to the troops stationed in South Korea that “we’re proud of you and we’re grateful for your service.”

During a visit to the demilitarized zone on Monday, steps from the line of demarcation between North and South Korea, Mr. Pence said the United States was committed to achieving security “through peaceable means, through negotiations,” but he also sought to intensify pressure on the North to change course.