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Suppose u=i+4j+5k\vec { u } = \vec { i } + 4 \vec { j } + 5 \vec { k }

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Suppose u=i+4j+5k\vec { u } = \vec { i } + 4 \vec { j } + 5 \vec { k } and v\vec { v } is a vector such that uv=37\vec { u } \cdot \vec { v } = 37 .What is the shortest length v\vec { v } can be?


Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.

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