Input: Force is a vector. What then is a vector? Think about how you would give directions to a friend. You would not say, just walk half a mile. The person may walk a half mile in the wrong direction! More information is needed. You may say, follow this particular road for a half mile. You may say, look for the green house on Sumter St. In both examples, you provided a direction. You also gave the distance. In other words, you provided a vector. You did not just give a distance. Both pieces of information are needed to find a location. This is just like describing forces. To explain forces, both size and direction are needed. Notice the girl in Figure 1.1. She is pushing the swing away from herself. Thats the direction of the force. She can give the swing a strong push or a weak push.

Does the response "Pushing force" correctly answer the question "If you know a force magnitude already, then what else do you need in order to give you the knowledge of a vector?"?

OPTIONS:
- no
- yes
***
Output: no

The Reconquest: The aim of the Crusades in Spain was the eviction of the Muslims. After the recovery of Jerusalem in 1099, it took four hundred years of sieges and battles, treaties, betrayals, and yet more battles, before Christian kings and warlords succeeded in subduing the Moors. On 10 September 1229, a Catalan army led by King Jaume I of Aragon and Catalunya took the Mallorcan shore near the present-day resort of Santa Ponca. The defenders retreated inside the walls of Palma, but on the last day of 1229 the city fell, and pockets of resistance throughout the island were also defeated. Jaume I proved to be an enlightened ruler who profited from the talents of the Moorsconverted by force to Christianityas well as of the island's large Jewish and Genoese trading communities. Mallorca prospered. The Moors on Menorca speedily agreed to pay an annual tribute to Aragon and were left in peace. The island's tranquility lasted until 1287, when Alfonso III of Aragon, smarting over a series of humiliations at the hands of his nobles, found a pretext for invasion. The Moors were defeated and expelled or killed. In contrast to Mallorca, Menorca's economy was devastated for decades. Jaume I died after reigning in Aragon for six decades, but he made the cardinal error of dividing between his sons the lands he had fought for so long to unite. At first this resulted in an Independent Kingdom of Mallorca, under Jaume II, followed by Sanc and Jaume III. But family rivalry triggered the overthrow of Jaume III by his cousin Pedro IV, who then seized the Balearics for Aragon. Attempting a comeback, Jaume was killed in battle near Llucmajor in 1349. A newly unified Christian Spain under the Catholic Monarchs, Ferdinand and Isabella, completed the Reconquest, defeating the only Moorish enclave left on the Iberian peninsula, Granada, in 1492. However, the centralized kingdom failed to incorporate the Balearics politically or economically.

Question: "Who took the Mallorcan shore what happened to the defenders?"

OPTIONS:
- no
- yes

Answer: "It was taken by King Jaume. They defenders retreated but were later defeated"

Response: yes

After arriving in New York City, Einstein was taken to various places and events, including Chinatown, a lunch with the editors of the New York Times, and a performance of Carmen at the Metropolitan Opera, where he was cheered by the audience on his arrival. During the days following, he was given the keys to the city by Mayor Jimmy Walker and met the president of Columbia University, who described Einstein as "The ruling monarch of the mind." Harry Emerson Fosdick, pastor at New York's Riverside Church, gave Einstein a tour of the church and showed him a full-size statue that the church made of Einstein, standing at the entrance. Also during his stay in New York, he joined a crowd of 15,000 people at Madison Square Garden during a Hanukkah celebration. Einstein next traveled to California where he met Caltech president and Nobel laureate, Robert A. Millikan. His friendship with Millikan was "awkward", as Millikan "had a penchant for patriotic militarism," where Einstein was a pronounced pacifist. During an address to Caltech's students, Einstein noted that science was often inclined to do more harm than good. This aversion to war also led Einstein to befriend author Upton Sinclair and film star Charlie Chaplin, both noted for their pacifism. Carl Laemmle, head of Universal Studios, gave Einstein a tour of his studio and introduced him to Chaplin. They had an instant rapport, with Chaplin inviting Einstein and his wife, Elsa, to his home for dinner. Chaplin said Einstein's outward persona, calm and gentle, seemed to conceal a "highly emotional temperament," from which came his "extraordinary intellectual energy." Chaplin also remembers Elsa telling him about the time Einstein conceived his theory of relativity. During breakfast one morning, he seemed lost in thought and ignored his food. She asked him if something was bothering him. He sat down at his piano and started playing. He continued playing and writing notes for half an hour, then went upstairs to his study, where he remained for two weeks, with Elsa bringing up his food. At the end of the two weeks he came downstairs with two sheets of paper bearing his theory. Chaplin's film, City Lights, was to premier a few days later in Hollywood, and Chaplin invited Einstein and Elsa to join him as his special guests.

Question: "Was Einstein married?"

Response: "No"
OPTIONS:
- no
- yes

A:
no