Determine Whether the Following Planes Are Parallel, Orthogonal, or Neither $\begin{array} { l } - 2 x - 31 y + 5 z + 3 = 0 \\- 3 x + y + 5 z - 4 = 0\end{array}$

question 28

Multiple Choice

Determine whether the following planes are parallel, orthogonal, or neither. If they are neither parallel nor orthogonal, find the angle of intersection. $\begin{array} { l } - 2 x - 31 y + 5 z + 3 = 0 \\- 3 x + y + 5 z - 4 = 0\end{array}$

• A) The planes are neither parallel nor orthogonal, the angle of intersection is \(15 ^ { \circ }\).
• B) The planes are parallel.
• C) The planes are neither parallel nor orthogonal, the angle of intersection is \(30 ^ { \circ }\).
• D) The planes are orthogonal.

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Definitions:

Collective Unconscious

A concept in Jungian psychology referring to the part of the unconscious mind that is derived from ancestral memory and experience and is common to all humankind.

Jungian Theory

A psychological framework developed by Carl Jung, focusing on concepts such as the collective unconscious and archetypes.

Object-relations Theorists

Psychologists who focus on how relationships and interactions with others during infancy and childhood shape the development of the self.

Independence

The state or quality of being self-reliant and free from outside control, making decisions and bearing the consequences for oneself.