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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise

Transcript

Ex 10.1, 5 Answer the following as true or false. (i) ๐‘Ž โƒ— and โˆ’ ๐‘Ž โƒ— are collinear.Two vectors are collinear if they are parallel to line the same line. Here, ๐‘Ž โƒ— and โˆ’๐‘Ž โƒ— are parallel to line ๐‘š โƒ— So, ๐‘Ž โƒ— and โˆ’๐‘Ž โƒ— 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‘Ž โƒ— and ๐‘ โƒ— are parallel to ๐‘š โƒ— Hence, collinear. But, ๐‘Ž โƒ— and ๐‘ โƒ— 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‘Ž โƒ— and ๐‘ โƒ— are equal in magnitude but not parallel to the same line So, ๐‘Ž โƒ— and ๐‘ โƒ— 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‘Ž โƒ— and ๐‘ โƒ— are parallel to ๐‘š โƒ— , and thus collinear. Also ๐‘Ž โƒ— and ๐‘ โƒ— 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‘Ž โƒ— and ๐‘ โƒ— have opposite directions, they are collinear vectors having the same magnitude but are not equal Hence, False

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.