Direction angle of a vector

Direction angle of a vector

It should be clear by now that a quantity will not be considered a vector quantity if the magnitude or the direction is missing. In this section, we will shift our focus to learn how to indicate the direction of a vector.
Basic concepts: Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} ), Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} ), Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} ),
Related concepts: Angle and absolute value of complex numbers,

Lessons

  • 1.
    Determine the direction angle of the following vectors:
    a)
    p⃗= \vec{p}= <6, 1>

    b)
    q⃗= \vec{q}= <-1, 1>

    c)

    Direction angle of a vector

    d)

    Direction angle of a vector

  • 2.
    Given the magnitude and the direction angle of the following vector, determine its component form

    Direction angle of a vector
  • 3.
    Given the magnitude and the direction angle of the following vector, determine its component form

    Magnitude and direction angle of a vector
  • 4.
    Given the magnitude and the direction angle of the following vector, determine its component form

    use magnitude and direction angle of a vector to determine its form
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28.
Vectors
28.1
Introduction to vectors
28.2
Magnitude of a vector
28.3
Direction angle of a vector
28.4
Scalar multiplication
28.5
Equivalent vectors
28.6
Adding and subtracting vectors in component form
28.7
Operations on vectors in magnitude and direction form
AS-Level Maths