Question

Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.

Answer 1

Two collinear vectors are always equal in magnitude. ... It is not necessary for two vectors having the same magnitude to be parallel to the same line. (iv) False. Two vectors are said to be equal if they have the same magnitude and direction, regardless of the positions of their initial points.

Answer 2

$True \\ \ \ \ \ \ \ \ Vectors \overrightarrow{a} and -\overrightarrow{ a} can be parallel or coinciding vectors. Either way the vectors will have same magnitude but opposite in direction and will be parallel to the same line.. \\ (ii) False \\ \ \ \ \ \ \ \ Collinear vectors are those vectors that are parallel to the same line. \\ \\\\(iii) False \\ \ \ \ \ \ \ \ It is not necessary for two vectors having the same magnitude to be parallel to the same line.$

(iv) False