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Vectors in Component Form definitions
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Vector
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Vector
Arrow-like quantity with direction and magnitude, often represented by numbers showing movement in space.
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이 집합의 용어 (15)
하이드의 정의
Vector
Arrow-like quantity with direction and magnitude, often represented by numbers showing movement in space.
Position Vector
Representation with initial point at the origin, showing movement from (0,0) to a specific location.
Component Form
Ordered pair indicating movement in x and y directions, written as (x, y) for clarity and calculation.
Initial Point
Starting location of a vector, used to determine direction and calculate components.
Terminal Point
Ending location of a vector, essential for finding component values and direction.
Magnitude
Numerical value representing the total length of a vector, calculated using its components.
Pythagorean Theorem
Formula relating the sides of a right triangle, used to compute vector length from components.
Resultant Vector
Outcome from combining two or more vectors, showing overall movement or effect.
Scalar
Single number used to scale a vector, affecting its length but not its direction.
Tip to Tail Method
Visual technique for combining vectors by connecting the end of one to the start of another.
x Component
Numerical value indicating movement along the horizontal axis in vector representation.
y Component
Numerical value indicating movement along the vertical axis in vector representation.
Vector Addition
Process of combining vectors by summing their corresponding components for a new vector.
Vector Subtraction
Process of finding the difference between vectors by subtracting their corresponding components.
Scalar Multiplication
Operation where each component of a vector is multiplied by a constant, changing its size.