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# Answer the following as true or flase: vec a and vec b are collinear. Two collinear vectors are always equal in magnitude. Zero vector is unique. Two vectors having same magnitude are collinear. Two collinear vectors having the same magnitude are equal.

Question from  Class 12  Chapter Algebra Of Vectors

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Solution :
(i) `veca and vec a` are collinear.<br> It is true as both will be in the same direction.<br> (ii) Two collinear vectors are always equal in magnitude.<br> It is false as collinear vectors can be of different magnitue.<br> (iii)Zero vector is unique.<br> It is false as zero vector is a dot and do not have a direction. So, it can be in any direction.<br> (iv)Two vectors having same magnitude are collinear. <br> It is false as two vectors can have same magnitude but it is not neccessary they will be collinear.<br> (v) Two collinear vectors having the same magnitude are equal.<br> It is false as they can have different directions.<br>

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