Equivalent vectors

Equivalent vectors

There are times when we are interested to see whether multiple vectors are considered equivalent or not. When we say two or more vectors are equivalent vectors, we simply mean that the vectors that are being compared have both of the following equivalent -- the direction and the magnitude. We will work on some relevant examples in this section.
Basic concepts: Parallel line equation, Representing patterns in linear relations, Pythagorean theorem,
Related concepts: Distance and midpoint of complex numbers, Angle and absolute value of complex numbers,

Lessons

  • 1.
    Are p⃗\vec{p} and q⃗\vec{q} equivalent vectors?
    determine equivalent vectors
  • 2.
    Are w⃗\vec{w} and v⃗\vec{v} equivalent vectors?
    Equivalent vectors
  • 3.
    Are m⃗\vec{m} and n⃗\vec{n} equivalent vectors?
    Determine whether the vectors are equivalent
  • 4.
    Are r⃗\vec{r} and s⃗\vec{s} equivalent vectors?
    Determine whether the vectors are equivalent
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15.
Vectors
15.1
Introduction to vectors
15.2
Magnitude of a vector
15.3
Direction angle of a vector
15.4
Scalar multiplication
15.5
Equivalent vectors
15.6
Adding and subtracting vectors in component form
15.7
Operations on vectors in magnitude and direction form
Precalculus