Answer the following as true or false. (i) \[\overrightarrow{a}\] and\[-\overrightarrow{a}\] are collinear. (ii) Two collinear vectors are always equal in magnitude. (iii) Two vectors having same magnitude are collinear. (iv) Two collinear vectors having the same magnitude are equal.

(i) the given statement is True.

Vectors \[\overrightarrow{a}\] and \[-\overrightarrow{a}\]are parallel to the same line.

(ii) The given statement is False.

Collinear vectors are those vectors that are parallel to the same line.

(iii) The given statement is False.

Two vectors having the same magnitude need not necessarily be parallel to the same line.

(iv) The given statement is False.

Only if the magnitude and direction of two vectors are the same, regardless of the positions of their initial points the two vector are said to be equal.

Types of Vectors

• Zero Vector
• Unit Vector
• Coinitial Vectors
• Collinear Vectors
• Equal Vectors
• Negative of a Vector