Find the Vector $\mathbf { v }$ That Has a Magnitude of 6 and Is in the Magnitude

question 109

Multiple Choice

Find the vector $\mathbf { v }$ that has a magnitude of 6 and is in the same direction as $\mathbf { u }$ , where $\mathbf { u } = \langle - 6 , - 5 \rangle$ .

• A) \(\mathbf { v } = \left\langle \frac { - 36 } { \sqrt { 61 } } , \frac { - 30 } { \sqrt { 61 } } \right\rangle\)
• B) \(\mathbf { v } = \left\langle \frac { - 6 } { \sqrt { 61 } } , \frac { - 5 } { \sqrt { 61 } } \right\rangle\)
• C) \(\mathbf { v } = \left\langle \frac { - 1 } { \sqrt { 61 } } , \frac { - 6 } { \sqrt { 61 } } \right\rangle\)
• D) \(\mathbf { v } = \left\langle \frac { - 1 } { \sqrt { 61 } } , \frac { 1 } { \sqrt { 61 } } \right\rangle\)
• E) \(\quad \mathbf { v } = \left\langle \frac { 5 } { \sqrt { 61 } } , \frac { 6 } { \sqrt { 61 } } \right\rangle\)

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An 1857 U.S. Supreme Court ruling that African Americans, whether enslaved or free, could not be American citizens and therefore had no standing to sue in federal court, further inflaming the pre-Civil War national debate over slavery.