The Eastward Component of Vector $\vec { A }$ Is Equal to the Westward Component of Vector

question 40

Multiple Choice

The eastward component of vector $\vec { A }$ is equal to the westward component of vector $\overrightarrow { \mathbf { B } }$ and their northward components are equal. Which one of the following statements must be correct for these two vectors?

• A) Vector \(\vec { A }\) is parallel to vector\(\overrightarrow { \mathbf { B } }\) .
• B) Vector \(\vec { A }\) is antiparallel (in the opposite direction) to vector \(\overrightarrow { \mathbf { B } }\) .
• C) Vector \(\vec { A }\) must be perpendicular to vector \(\overrightarrow { \mathbf { B } }\) .
• D) The magnitude of vector \(\vec { A }\) must be equal to the magnitude of vector \(\overrightarrow { \mathbf { B } }\) .
• E) The angle between vector \(\vec { A }\) and vector \(\overrightarrow { \mathbf { B } }\) must be 90°.

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Definitions:

Compliance

The act of conforming to, following, or acting in accordance with requests, standards, or rules.

Mere Compliance

Following orders, rules, or requests with minimal effort or enthusiasm, often without internal agreement or dedication.

Motivated

Having the desire or willingness to do something, especially in the context of achieving goals or fulfilling tasks.

Conform

To align one's behavior or beliefs to match those of a group, society, or set of standards.