Find a Vector-Valued Function Whose Graph Is the Plane $x + y + z = 4 \text {. }$

question 55

Multiple Choice

Find a vector-valued function whose graph is the plane $x + y + z = 4 \text {. }$

• A) \(\mathbf { r } ( u , v ) = u \mathbf { i } - v \mathbf { j } - ( 4 - u - v ) \mathbf { k }\)
• B) \(\mathbf { r } ( u , v ) = u \mathbf { i } + v \mathbf { j } + ( 4 - u - v ) \mathbf { k }\)
• C) \(\mathbf { r } ( u , v ) = u \mathbf { i } + v \mathbf { j } + ( 4 + u + v ) \mathbf { k }\)
• D) \(\mathbf { r } ( u , v ) = u \mathbf { i } + v \mathbf { j } - ( 4 + u + v ) \mathbf { k }\)
• E) \(\mathbf { r } ( u , v ) = - u \mathbf { i } - v \mathbf { j } + ( 4 - u - v ) \mathbf { k }\)

Explore the portrayal of racial and ethnic groups in American media and the implications for racial identity and prejudice.

Understand the concept and application of cross-classification tables in analyzing relationships between two nominal variables.

Interpret the relationship between gender and various factors through cross-classification tables and graphical representations.

Construct and interpret frequency distribution tables, pie charts, and bar charts.

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