For What Value(s)of a Is the Vector $\vec { v } = - 50 \vec { i } + a \vec { j } + 5 \vec { k }$

question 9

Essay

For what value(s)of a is the vector $\vec { v } = - 50 \vec { i } + a \vec { j } + 5 \vec { k }$ perpendicular to the plane z = 10x - 2y + 7?

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Definitions:

Histogram Chart

A graphical representation, using vertical bars, to show the distribution of numerical data over a set of intervals or bins.

Rectangle

A quadrilateral with four right angles and opposite sides that are equal in length.

Data Series

A collection of related data points or values that are usually displayed as part of a chart or graph.

Category Values

A set of specific, predefined data points used to label or group elements in a dataset, facilitating analysis and reporting.