Unit 3.G Flashcards
an object that has both a magnitude and a direction
vector
what is a vector
a vector is an object that has both magnitude and direction
the length is the?
magnitude of the vector
with an arrow indicating the?
direction
The direction of the vector is from its ______ to its _____
tail, head
examples of vectors
displacement. velocity, force, and acceleration
a quantity that has magnitude but not direction is called a
scalar quantity
examples of scalar quantity
time and mass
scalar quantity for force
magnitude
scalar quantity for velocity
speed
A _______ in the plane is the ray (a line segment with an arrow at one end) with the assigned direction
vector
Two vectors are considered _____________ if they have equal magnitude and the same
direction.
equal vectors
The numbers x and y are the ______________________.
components of the vector
The set of all ordered pairs of the form ⟨x, y⟩ is
V2
The representation where the initial
point is at the origin is called the _____________________________ of the vector
position representation
A _____________ correspondence exists between the vectors ⟨x, y⟩ in the plane and the points (x, y) in the plane.
one-to-one
A _____________ is a vector of zero magnitude
zero vector
________________ is commutative
vector addition
The vector u+v or vector v+u is called
the ____________________ of adding vectors u and
v
resultant vector
This rule of the commutativity of vector addition is known as the?
parallelogram law
A vector of length 1 is called a
unit vector
The ________________ of any nonzero vector is the angle θ measured from the positive side of the x-axis counterclockwise to the position representation of the vector.
direction angle
if a1 = 0 and a2 > 0, the theta would be
pi over 2
if a1 = 0 and a2 < 0, the theta would be
3pi over 2
The dot product is not a
vector
The dot product is a
real number or a scalar
