Vectors Flashcards
(16 cards)
What is a vector?
A quantity that has both magnitude and direction.
Vectors can represent various physical quantities such as force, velocity, and displacement.
Define a unit vector.
A vector with a magnitude of one.
Unit vectors are often used to indicate direction.
What are vectors of the same direction called?
Collinear vectors.
Collinear vectors lie along the same line and point in the same direction.
What are vectors of opposite direction called?
Negative vectors.
Negative vectors have the same magnitude as the original vector but point in the opposite direction.
What characterizes collinear vectors?
They are either parallel or antiparallel to each other.
Collinear vectors can be in the same or opposite directions.
Fill in the blank: Vectors of different directions are called _______.
Vectors of different directions.
These vectors do not align along the same path.
What is a negative vector?
A vector having the same magnitude as the original vector but pointing in the opposite direction.
Negative vectors are important for understanding vector subtraction.
What is the significance of direction in vectors?
Direction determines the vector’s orientation in space.
Vectors can represent various aspects of motion and force, making direction crucial.
True or False: All vectors can be classified as either collinear or non-collinear.
True.
This classification helps in understanding the relationship between different vectors.
What are scalar quantities?
Quantities that have only magnitude and no direction.
Examples include mass, temperature, and time.
What is the result of vector addition?
A resultant vector.
Vector addition is performed head-to-tail or using the parallelogram method.
What is a scalar product?
A product of two vectors that results in a scalar quantity.
The scalar product is also known as the dot product.
Define linear vectors.
Vectors that are either parallel or antiparallel to each other.
Linear vectors maintain a straight-line relationship in terms of direction.
Fill in the blank: Vectors that are neither parallel nor antiparallel are called _______.
Vectors of different directions.
These vectors can have angles between them, affecting their resultant.
What is the role of magnitude in vectors?
Magnitude indicates the size or length of the vector.
It is a crucial factor in determining the vector’s impact in physical scenarios.
What is meant by the term ‘non-zero vector’?
A vector that has a magnitude greater than zero.
Non-zero vectors can represent actual forces or movements.
