Vectors & Scalars Flashcards
Scalar
quantities having only magnitude (size, number and a unit)
ex: Distance 10m Mass 5kg
Vector
quantities having both magnitude (size) and direction
ex: Displacement 10m East Velocity 50m/s West
Representing a vector
A vector is represented by and arrow pointing in a direction and drawn to a selected scale
Resultant
A single vector that represents the addition of 2 or more vectors
Represented as a dashed line
Concurrently
Acting on the same point or object at the same time
Orthogonal Vectors
Perpendicular Vectors (vectors at right angles)
Adding two orthogonal vectors (at right angles) mathematically
The magnitude of the resultant is obtained through the pythagorean theorem.
The angle is found through an inverse trig function
Collinear Vectors (vectors at 0° and 180° to each other) (Two vectors pointing in the same direction)
0° angle between them
Add the magnitudes of the vectors together
The resultant is the maximum value possible
Collinear Vectors (vectors at 0° and 180° to each other) Two vectors pointing in the exact opposite direction
180° between them
Subtract the magnitudes of the vectors together
The resultant is the minimum value possible
Concurrently
Acting in the same point or object at the same time
Orthogonal Vectors
Perpendicular vectors: vectors at right angles
Adding two orthogonal vectors (at right angles) mathematically
The magnitude of the resultant is obtained through the Pythagorean theorem.
The angle is found through an inverse trig function.