If $\| \mathbf { u } \| = 5$ And $\| \mathbf { v } \| = 3$

question 24

Multiple Choice

If $\| \mathbf { u } \| = 5$ and $\| \mathbf { v } \| = 3$ , and the vectors make angles of $150 ^ { \circ }$ and $110 ^ { \circ }$ with the $x$ -axis respectively, find the component form of the sum of $\mathbf { u }$ and $\mathbf { v }$ . Round answers to two decimal places.

• A) \(\langle - 5.36,5.32 \rangle\)
• B) \(\langle - 3.30 , - 0.32 \rangle\)
• C) \(\langle 1.47 , - 1.51 \rangle\)
• D) \(\langle 3.53 , - 7.15 \rangle\)
• E) \(\langle - 4.31,6.20 \rangle\)

---

Definitions:

James Forten

A prominent African American abolitionist and wealthy businessman in Philadelphia during the 18th and 19th centuries.

British Attack

Refers to various military actions conducted by British forces, particularly during the Revolutionary War and War of 1812 against the United States.

Black Citizens

Individuals of African descent who hold citizenship in a given country, often used in contexts discussing their rights, contributions, and challenges within that country.

Freedom's Journal

The first African-American owned and operated newspaper published in the United States, founded in 1827.