Determine Whether the Following Is Always True or Not Always

question 222

Essay

Determine whether the following is always true or not always true. Given reasons for your answers.
-(u × v) ·v = u ·(u × v)

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Definitions:

Standard Form

A way to write numbers using the digits 0-9, with each digit having a place value. In algebra, it refers to a way of arranging equations to a specific form.

Imaginary Unit

The imaginary unit, denoted as \(i\), is defined as the square root of \(-1\) and is foundational in complex number theory.

Standard Form

A way of writing numbers, particularly large or small numbers, using powers of ten, or a method to write equations, especially linear equations, in a specific format.

Imaginary Unit

The square root of negative one, denoted by \(i\), used in complex number calculations.