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
Do better in math today
Get Started Now
29.
Vectors
29.1
Introduction to vectors
29.2
Magnitude of a vector
29.3
Direction angle of a vector
29.4
Scalar multiplication
29.5
Equivalent vectors
29.6
Adding and subtracting vectors in component form
29.7
Operations on vectors in magnitude and direction form
29.8
Unit vector
29.9
Word problems on vectors
AS-Level Maths