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Home  >>  CBSE XII  >>  Math  >>  Vector Algebra
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In Fig 10.6 (a square), identify the following vectors. \[(i)\; Coinitial\qquad (ii)\; Equal\qquad (iii)\; Collinear\; but\; not\; equal \]

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Toolbox:
  • Two or more vectors having the same initial point are called coinitial vector.
  • Two or more vectors are said to be collinear,if they are parallel to the same line,irrespective of their magnitudes and directions.
  • Two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are said to be equal if they have the same magnitude and either same or opposite direction regardless of the positions of their initial points
Step 1:
In the above figure:we are asked to find the coinitial vectors,equal vectors and collinear but not equal vectors.
Consider the vectors $\overrightarrow{a}$ and $\overrightarrow{d}$.They have the same initial point A.
Hence $\overrightarrow{a}$ and $\overrightarrow{d}$ are coinitial vectors.
Step 2:
Consider the vectors $\overrightarrow{b}$ and $\overrightarrow{d}$.Both are having same magnitude but they are opposite in direction.
Hence $\overrightarrow{b}$ and $\overrightarrow{d}$ are equal vectors.
Step 3:
Consider the vectors $\overrightarrow{a}$ and $\overrightarrow{c}$.They are parallel to each other and they are opposite in direction.
Hence $\overrightarrow{a}$ and $\overrightarrow{c}$ are collinear vectors.
answered May 16, 2013 by sreemathi.v
 
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