Pre-Calculus Section 6.3A Vectors in the Plane

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Pre-CalculusSection 6.3AVectors in the Plane
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Vectors

• Have magnitude and direction
• Directed line segment PQ
• Initial point P and terminal point Q
• Magnitude length find using the distance
  formula
• Use boldface, lowercase letters
• Written as vector v in the plane

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• 1. Let u be the directed line segment from P(0,
  0) to Q(3, 2), and let v be the directed line
  segment from R(1, 2) to S(4, 4).
• Show that u v.
• 1st - use distance formula to show that they
  have the same magnitude(length)

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• 1. Let u be the directed line segment from P(0,
  0) to Q(3, 2), and let v be the directed line
  segment from R(1, 2) to S(4, 4). Show that u
  v.
• 2nd - find their slopes to show that they have
  the same direction.

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• Component Form of a Vector
• Standard Position
• - directed line segment whose initial point is
  the origin
• Component Form
• - write a vector in standard position using
  its terminal point (v1, v2)
• v lt v1, v2 gt

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• Component Form of a Vector
• The component form of the vector with initial
  point P(p1, p2) and terminal point Q(q1, q2) is
  given by
• PQ lt q1 - p1, q2 - p2gt lt v1, v2gt v

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Homework

• Pg 433
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