State Whether the Vectors Are Parallel, Orthogonal, or Neither $$\mathbf { v } = - 3 \mathbf { i } - 5 \mathbf { j } , \quad \mathbf { w } = 2 \mathbf { i } - \mathbf { j }$$

question 99

Multiple Choice

State whether the vectors are parallel, orthogonal, or neither.
- $$\mathbf { v } = - 3 \mathbf { i } - 5 \mathbf { j } , \quad \mathbf { w } = 2 \mathbf { i } - \mathbf { j }$$

• A) \(\mathbf { v } _ { 1 } = - \frac { 2 } { 5 } \mathbf { i } - \frac { 1 } { 5 } \mathbf { j } , \mathbf { v } _ { 2 } = \frac { 7 } { 5 } \mathbf { i } - \frac { 14 } { 5 } \mathrm { j }\)
• B) \(\mathbf { v } _ { 1 } = - \frac { 2 } { 5 } \mathrm { i } - \frac { 1 } { 5 } \mathrm { j } , \mathbf { v } _ { 2 } = - \frac { 14 } { 5 } \mathrm { i } - \frac { 24 } { 5 } \mathrm { j }\)
• C) \(\mathbf { v } _ { 1 } = - \frac { 1 } { 2 } \mathrm { i } - \frac { 1 } { 4 } \mathrm { j } , \mathbf { v } _ { 2 } = - \frac { 5 } { 2 } \mathrm { i } - \frac { 19 } { 4 } \mathrm { j }\)
• D) \(\mathbf { v } _ { 1 } = - \frac { 2 } { 5 } \mathrm { i } - \frac { 1 } { 5 } \mathrm { j } , \mathrm { v } _ { 2 } = - \frac { 13 } { 5 } \mathrm { i } - \frac { 24 } { 5 } \mathrm { j }\)

---

Definitions:

Effective Report

A document that clearly and efficiently communicates information and findings to its intended audience.

Executive Dashboard

A visual interface displaying the key performance indicators (KPIs) and metrics for an organization's executives to monitor.

Customized

Tailored or modified to meet the specific needs, preferences, or requirements of an individual or group.

Summarized

Summarized means to condense a larger piece of text or information into a brief overview, highlighting the main points.