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

question 7

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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Definitions:

Dorsalis Pedis Artery

The artery that supplies blood to the surface of the foot, located on the top of the foot.

Popliteal Artery

The artery located behind the knee that supplies blood to the lower leg muscles and knee joint.

Posterior Tibial Artery

A major artery of the lower leg that supplies oxygenated blood to the posterior compartment of the leg and plantar surface of the foot.

Pulmonary Trunk

The major vessel that carries blood from the heart to the lungs for oxygenation.