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Algebra of Vectors — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSAlgebra of Vectors5 Marks
Question
In Figure ABCD is a regular hexagon, which vectors are:
  1. Collinear.
  2. Equal.
  3. Co-initial.
  4. Collinear but not equal.
✓

Answer

  1. Vectors having the same or parallel supports are called collinear vector. In the given figure the collinear vectors are,
$\vec{\text{a}},\ \vec{\text{d}};\ \vec{\text{x}},\ \vec{\text{z}},\ \vec{\text{b}};\ \vec{\text{c}},\ \vec{\text{y}}$
  1. vectors having the same magnitude and direction are called equal vector. In the given figure the equal vectors are,
$\vec{\text{b}},\ \vec{\text{x}};\ \vec{\text{c}},\ \vec{\text{y}};\ \vec{\text{a}},\ \vec{\text{d}}$
  1. Vectors having the same initial point are called co-initial vector. In the given figure the co-initial vectors are,
$\vec{\text{a}},\ \vec{\text{y}},\ \vec{\text{z}}$
  1. The vectors which are collinear but not equal are $\vec{\text{b}},\ \vec{\text{z}};\ \vec{\text{x}},\ \vec{\text{z}}$

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