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Adding vectors algebraically & graphically
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To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​

Subject:
Algebra
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Ai Weiwei's "Remembering" and the Politics of Dissent
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All art is political in the sense that all art takes place in the public arena and engages with an already existing ideology. Chinese artist, Ai Weiwei, offers an important contemporary example. The news that Chinese artist Ai Weiwei has been detained by authorities has prompted significant concern. Ai Weiwei has ben arrested by the Chinese authorities.

Subject:
Arts and Humanities
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker
Alexander Mosaic
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This art history video examines the "Alexander Mosaic" c. 100 B.C.E., tessera mosaic from the House of the Faun, Pompeii. This Roman floor mosaic may be based on a lost Hellenistic painting by Philoxenos of Eretria, The Battle of Issus, c. 315 B.C.E.). Museo Archeologico Nazionale, Naples.

Subject:
Arts and Humanities
Art History
Visual Arts
Material Type:
Diagram/Illustration
Lecture
Provider:
Khan Academy
Provider Set:
Smarthistory
Author:
Beth Harris
Steven Zucker