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Course: Precalculus > Unit 6

Lesson 4: Scalar multiplication
Math
Precalculus
Vectors
Scalar multiplication
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Scalar multiplication

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Problem

Vector v→ has a magnitude of 3 units and it creates an angle of 160° with the positive x-axis.
Find the magnitude and direction of 5v→.
Give the direction as an angle measure between 0° and 360°.
||5v→||=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
units
5v→ creates an angle of
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
° with the positive x-axis.