Vector operations in one dimension - Scalars, Vectors and Motion

Vector operations in one dimension


In this lesson, we will learn:
  • How to add, subtract, multiply, and divide vectors
    • Graphically (with diagrams)
    • Numerically (with math)


Just like scalars, vectors can be added, subtracted, multiplied, and divided:

  • When vectors are added, the vector diagram is drawn by tip-to-tail addition. To add A\vec{A} and B\vec{B}, draw the vector A\vec{A}, then starting at the tip of A\vec{A} draw B\vec{B}. The tail of B\vec{B} connects to the tip of A\vec{A}.
  • Taking the negative of a vector "flips" the vector to point in the opposite direction, while keeping the same magnitude.
  • Multiplying or dividing a vector by a positive scalar changes the magnitude of the vector, while keeping the same direction.
  • Intro Lesson
    Introduction to vector operations:
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Vector operations in one dimension

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