Find the Values Of $x$ Such That the Vectors $( 2 x , x , 9 )$

question 137

Multiple Choice

Find the values of $x$ such that the vectors $( 2 x , x , 9 )$ and $( 6 , x , 3 )$ are orthogonal. Select the correct answer.

• A) \(x = 9 , x = 3\)
• B) \(x = 3 , x = - 3\)
• C) \(x = 9 , x = - 9\)
• D) \(x = - 9 , x = 3\)
• E) \(x = - 9 , x = - 3\)

Calculate the optimum consumption bundle given a consumer's income and prices of goods.

Analyze the effects of changes in income and prices on consumer behavior and choices.

Describe the concepts of normal and inferior goods and how income changes affect their demand.

Demonstrate the impact of interest and wage changes on saving and labor supply decisions, incorporating the substitution and income effects.

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Definitions:

Automatic Thoughts

These are spontaneous, quick thoughts that often occur without conscious control, typically influenced by one's beliefs and prior experiences.

Deliberate Thoughts

The process of intentionally and consciously considering ideas or making decisions, often involving reflective thinking or planning.

Intentional

Something done with purpose or deliberation, not by accident or without meaning.

Primes

Stimuli that influence participants' response to subsequent stimuli, without the participants being conscious of the connection.