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Geometry Section 8.6 VECTORS Name: Date: Period: Target Goals: 1. To describe vectors 2. To solve problems that involve vector addition A VECTOR is any quantity with MAGNITUDE (size) and DIRECTION.
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How to fill out vector magnitude size direction

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Determine the magnitude:

01
The magnitude of a vector represents its length or size.
02
To find the magnitude, calculate the square root of the sum of the squares of the vector's components.
03
For example, if the vector has components (x, y), the magnitude can be found using the formula: magnitude = √(x^2 + y^2).

Define the size:

01
The size of a vector refers to the numerical value of its magnitude.
02
It indicates how strong or intense the vector quantity is.
03
To express the size, use appropriate units of measurement, such as meters, kilograms, or volts, depending on the nature of the vector.

Determine the direction:

01
The direction of a vector indicates the path or orientation it follows.
02
It can be described using angles, compass directions, or other reference points.
03
To find the direction, calculate the angle the vector makes with a reference axis or vector.
04
Use trigonometric functions, such as sine, cosine, or tangent, to determine the direction accurately.

Who needs vector magnitude size direction?

01
Scientists and researchers in fields such as physics, engineering, and mathematics often need vector magnitude, size, and direction information.
02
This information is crucial for analyzing and understanding the behavior of physical quantities, such as forces, velocities, and electrical fields.
03
Practitioners in industries such as aviation, architecture, and computer graphics also rely on vector magnitude, size, and direction to design and model various systems accurately.
04
Students studying vector calculus or mechanics also benefit from understanding how to determine the magnitude, size, and direction of vectors.
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Vector magnitude size direction refers to the measurement of both the size and direction of a vector quantity.
Individuals or entities working with vector quantities are required to file vector magnitude size direction.
Vector magnitude size direction can be filled out by providing the measurements of the size and direction of the vector quantity.
The purpose of vector magnitude size direction is to accurately represent a vector quantity's size and direction for analysis or calculations.
The report should include the measurements of the magnitude (size) and direction of the vector quantity.
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