Find V · U $\mathbf { v } = \left\langle \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 7 } } \right\rangle$

question 25

Multiple Choice

Find v · u.
- $\mathbf { v } = \left\langle \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 7 } } \right\rangle$ and $\mathbf { u } = \left\langle \frac { 1 } { \sqrt { 2 } } , \frac { - 1 } { \sqrt { 7 } } \right|$

• A) \(\frac { 1 } { 2 } \mathrm { i } - \frac { 1 } { 7 } \mathrm { j }\)
• B) 0
• C) \(\frac { 2 } { \sqrt { 2 } } \mathrm { i }\)
• D) \(\frac { 5 } { 14 }\)

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Definitions:

Scientific Hypothesis

A proposed explanation for a phenomenon, which can be tested through experimentation and observation.

Empirically Tested

The process of verifying theories or hypotheses through direct observation and experiment, grounded in factual evidence and scientific method.

Variables

Are elements, traits, or conditions that can change or vary within an experiment or study, potentially influencing the results.

Assumption

A belief or statement taken to be true without proof, often forming the basis for further reasoning or behavior.