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Types of Vectors
Types of Vector
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Some of the types of vector are as follows:

  1. Column vector: The vectors whose x and y components are arranged vertically as in (x, y) is called column vector.
  2. Row vector: The vector whose x and y - components are arranged horizontally as in (x, y) is called row vector. A vector can be expressed either in a row vector or in a column.
  3. Position Vector: The vector whose initial point is taken as the origin is called position vector.
  4. Unit Vector: The vector whose magnitude of length is unity i.e. 1 is called the unit vector.
  5. Null or Zero vector: The vector whose length or magnitude is zero is called zero or null vector.
  6. Equal vector: Two vectors are said to be equal is they have the same magnitude and direction.
  7. Negative vector: The two vectors whose magnitude is same but are in opposite direction are called negative vectors.
  8. Parallel vectors: Two vectors are said to be parallel of both of them have either same or the opposite directions whatever may be their magnitudes.
  9. Like vectors: Two vectors are called like vectors if they have the same direction regardless of their magnitudes. \(\overrightarrow{a}\) and \(\overrightarrow{b}\) are two like vectors then we can write \(\overrightarrow{a}\) = k \(\overrightarrow{b}\) where k is a scalar quantity.
  10. Unlike vectors: Two vectors are called unlike vectors if each vector has the opposite direction.

Types of vector

  1. Column vector
  2. Row vector
  3. Position Vector
  4. Unit Vector
  5. Null or Zero vector
  6. Equal vector
  7. Negative vector
  8. Parallel vectors
  9. Like vectors
  10. Unlike vectors
.

Very Short Questions

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  • The vectors whose x and y components are arranged vertically as in (x, y) is called ______.

    row vector
    unit vector
    column vector
    position vector
  • The vector whose x and y - components are arranged horizontally as in (x, y) is called ______.

    column vector
    position vector
    unit vector
    row vector
  • The vector whose initial point is taken as the origin is called _______.

    unit vector
    row vector
    position vector
    column vector
  • The vector whose magnitude of length is unity i.e. 1 is called the ______.

    position vector
    column vector
    unit vector
    null vector
  • The vector whose length or magnitude is zero is called ______.

    column vector
    position vector
    unit vector
    null vector
  • The two vectors whose magnitude is same but are in opposite direction are called _______.

    position vector
    null vector
    positive vector
    negative vectors
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