Vectors Flashcards
What is a norm/magnitude of a vector?
∥x∥ = √x · x
What’s does the term size/dimension of a vector mean?
The amount of components in the specified vector
What is a scalar?
Real number.
e.g. any numbers
What is the Dot product/Scalar Product using vector by vector
When the Dot Product is present you do:
Multiply component by component and then add them
So for ex.
(9,7,8,5,10)^(T)
What is the alternative Dot Product and maybe Scalar Product?
x * y = ∥x∥∥y∥ cos θ
What finds the angle between two vectors.
The alternative Dot product.
What is a Net Force
All forces acting on an object (This happens in 2D or 3D Dimensions)
What is a Unit Vector
A Unit vector is a vector with the magnitude of 1
When is (F · e)e the force in direction
When F is a force and e is a unit vector.
Unit vector
A unit vector is always equal to 1 this could be by x or y axis
(0,1)^(T) being y-axis and (1,0)^(T) being x-axis.
What does iff mean?
if and only if. (Used for vectors being equal to each other for example)
(1,2,3)^(T) = (1,2,b) iff b = 3
What is a vector?
A vector is something has/moves with both magnitude and direction
What is a scalar?
Scalar is something that only moves with magnitude.
