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

question 15

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) \(\langle - 4.31,6.20 \rangle\)

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Definitions:

Colonial Americans

Individuals living in the American colonies before the United States declared independence from Britain, including both European settlers and Indigenous peoples.

Colonial Assembly

A legislative body in a colony, primarily in the British colonies, which represented the colonists and had some powers over local matters and legislation.

John Dickinson

An American statesman, known as the "Penman of the Revolution" for his letters on colonial rights, and a delegate from Pennsylvania to the U.S. Constitutional Convention.

Letters from a Farmer

A series of essays written by John Dickinson in 1767-68, arguing against the Townsend Acts and for colonial rights, contributing to the American Revolution.