Last updated at April 21, 2021 by Teachoo

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Ex 10.1, 5 Answer the following as true or false. (i) ๐ โ and โ ๐ โ are collinear.Two vectors are collinear if they are parallel to line the same line. Here, ๐ โ and โ๐ โ are parallel to line ๐ โ So, ๐ โ and โ๐ โ are collinear. Hence, True. Ex 10.1, 5 Answer the following as true or false. (ii) Two collinear vectors are always equal in magnitude.Two vectors are collinear, if they are parallel to the same line. Here, ๐ โ and ๐ โ are parallel to ๐ โ Hence, collinear. But, ๐ โ and ๐ โ are not equal in magnitude. Thus, False. Ex 10.1, 5 Answer the following as true or false. (iii) Two vectors having same magnitude are collinear.Two or more vectors are collinear if they are parallel to the same line ๐ โ and ๐ โ are equal in magnitude but not parallel to the same line So, ๐ โ and ๐ โ are not collinear Hence, False. Ex 10.1, 5 Answer the following as true or false. (iv) Two collinear vectors having the same magnitude are equal.Two or more vectors are collinear if they are parallel to the same line. ๐ โ and ๐ โ are parallel to ๐ โ , and thus collinear. Also ๐ โ and ๐ โ have the same magnitude. But they have opposite directions. Now, Two or more vectors are equal if they have the Same Magnitude Same Direction Since, ๐ โ and ๐ โ have opposite directions, they are collinear vectors having the same magnitude but are not equal Hence, False

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.