1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
  3. Ex 10.2
Check sibling questions

Ex 10.2, 18 (MCQ) - Chapter 10 Class 12 Vector Algebra

Last updated at Dec. 16, 2024 by Teachoo

Transcript

Ex 10.2, 18 In triangle ABC (Fig 10.18),which of the following is not true (A) (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— + (𝐢𝐴) βƒ—= 0 βƒ— (B) (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— – (𝐴𝐢) βƒ—= 0 βƒ— (C) (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— – (𝐢𝐴) βƒ—= 0 βƒ— (D) (𝐴𝐡) βƒ— – (𝐢𝐡) βƒ— + (𝐢𝐴) βƒ—= 0 βƒ— In Ξ” ABC, (𝐴𝐢) βƒ— is the resultant of (𝐴𝐡) βƒ— & (𝐡𝐢) βƒ— (𝐴𝐢) βƒ— = (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— = (𝐴𝐢) βƒ— (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— βˆ’ (𝐴𝐢) βƒ— = 0 βƒ— Checking part (A) (𝑨𝑩) βƒ— + (𝑩π‘ͺ) βƒ— + (π‘ͺ𝑨) βƒ—= 𝟎 βƒ— From (1) (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— βˆ’ (𝐴𝐢) βƒ— = 0 βƒ— (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— βˆ’ (βˆ’(𝐢𝐴) βƒ—) = 0 βƒ— (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— + (𝐢𝐴) βƒ— = 0 βƒ— Hence, (A) is true. Checking part (B) (𝑨𝑩) βƒ— + (𝑩π‘ͺ) βƒ— – (𝑨π‘ͺ) βƒ—= 𝟎 βƒ— From (1) (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— βˆ’ (𝐴𝐢) βƒ— = 0 βƒ— Hence, (B) is true. Checking part (C) (𝑨𝑩) βƒ— + (𝑩π‘ͺ) βƒ— – (π‘ͺ𝑨) βƒ—= 𝟎 βƒ— From (1) (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— βˆ’ (𝐴𝐢) βƒ— = 0 βƒ— (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— βˆ’ (βˆ’(𝐢𝐴) βƒ—) = 0 βƒ— (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— + (𝐢𝐴) βƒ— = 0 βƒ— Hence, (C) is not true. Checking part (D) (𝑨𝑩) βƒ— – (π‘ͺ𝑩) βƒ— + (π‘ͺ𝑨) βƒ—= 𝟎 βƒ— From (1) (𝐴𝐡) βƒ— + (𝐡𝐢) βƒ— βˆ’ (𝐴𝐢) βƒ— = 0 βƒ— (AB) βƒ— βˆ’ (CB) βƒ— + (CA) βƒ— = 0 βƒ— Hence, (D) is true. Thus, (C) is the correct option
  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise

    3. Ex 10.2

    Ex 10.3 →
Ex 10.3 →
Chapter 10 Class 12 Vector Algebra
Serial order wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo