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Ex 10.1, 5 - True or false (i) a and -a are collinear (ii) Two

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Ex 10.1, 5 - Chapter 10 Class 12 Vector Algebra - Part 2

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Ex 10.1, 5 - Chapter 10 Class 12 Vector Algebra - Part 3

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Ex 10.1, 5 - Chapter 10 Class 12 Vector Algebra - Part 4

Ex 10.1, 5 - Chapter 10 Class 12 Vector Algebra - Part 5

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

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.