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If b=1,0,1\mathbf { b } = \langle 1,0,1 \rangle c=0,1,1\mathbf { c } = \langle 0 , - 1,1 \rangle

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If b=1,0,1\mathbf { b } = \langle 1,0,1 \rangle , c=0,1,1\mathbf { c } = \langle 0 , - 1,1 \rangle , and a=2,3,z\mathbf { a } = \langle 2 , - 3 , z \rangle , find a value for z which guarantees that a, b, and c are coplanar.


Definitions:

Representativeness Heuristic

A cognitive shortcut that involves making judgments based on how much one thing resembles another.

Creating Subgoals

The strategy of breaking down a goal into smaller, more manageable tasks or objectives that are easier to achieve step by step.

Using Algorithms

The practice of applying a step-by-step procedure or formula for solving problems or performing tasks.

Confirmation Bias

The tendency to search for, interpret, favor, and recall information in a way that confirms one's preexisting beliefs or hypotheses.

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