State Whether the Vectors Are Parallel, Orthogonal, or Neither $$\mathrm { v } = \mathrm { i } + 5 \mathrm { j } , \quad \mathbf { w } = \mathrm { i } + \mathrm { j }$$

question 107

Multiple Choice

State whether the vectors are parallel, orthogonal, or neither.
- $$\mathrm { v } = \mathrm { i } + 5 \mathrm { j } , \quad \mathbf { w } = \mathrm { i } + \mathrm { j }$$

• A) \(\mathbf { v } _ { 1 } = \frac { 7 } { 2 } \mathrm { i } + \frac { 7 } { 2 } \mathrm { j } , \mathrm { v } _ { 2 } = - \frac { 5 } { 2 } \mathrm { i } + \frac { 3 } { 2 } \mathrm { j }\)
• B) \(\left. \mathbf { v } _ { 1 } = 3 \mathbf { i } + 3 \mathbf { j } \right) , \mathbf { v } _ { 2 } = - 2 \mathbf { i } + 2 \mathbf { j }\)
• C) \(\mathbf { v } _ { 1 } = 6 \mathbf { i } + 6 \mathbf { j } , \mathbf { v } _ { 2 } = - 4 \mathbf { i } + 4 \mathbf { j }\)
• D) \(\mathbf { v } _ { 1 } = 3 \mathbf { i } + 3 \mathbf { j } , \mathbf { v } _ { 2 } = 2 \mathbf { i } - 2 \mathbf { j }\)

---

Definitions:

Drops/Ml

A measurement indicating the number of drops contained in one milliliter of liquid, often used in medication dosing.

D₅W

A solution containing 5% dextrose (sugar) in water, used intravenously to supply calories and fluids.

Infuse

To introduce a substance, such as a drug or nutrient, into the body, typically through intravenous delivery.

Organizational Effectiveness

The ability of an organization to achieve its goals and objectives efficiently and effectively.