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Question 12 - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by Teachoo

Find the angle between the unit vectors a ฬ‚ ๐‘Ž๐‘›๐‘‘ b ฬ‚ , given that |a ฬ‚+b ฬ‚ | = 1

 

Transcript

Question 12 Find the angle between the unit vectors ๐‘Ž ฬ‚ ๐‘Ž๐‘›๐‘‘ ๐‘ ฬ‚ , given that |๐‘Ž ฬ‚+๐‘ ฬ‚ | = 1 Given |๐‘Ž ฬ‚+๐‘ ฬ‚ |=1 Squaring both sides |๐’‚ ฬ‚+๐’ƒ ฬ‚ |^๐Ÿ=๐Ÿ^๐Ÿ |๐‘Ž ฬ‚ |^2+|๐‘ ฬ‚ |^2+2๐‘Ž ฬ‚.๐‘ ฬ‚=1 |๐’‚ ฬ‚ |^๐Ÿ+|๐’ƒ ฬ‚ |^๐Ÿ+๐Ÿ|๐’‚ ฬ‚|.|๐’ƒ ฬ‚ | ๐œ๐จ๐ฌโกใ€–๐œฝ ใ€—=๐Ÿ Since ๐‘Ž ฬ‚ and ๐‘ ฬ‚ are unit vectors, |๐‘Ž ฬ‚ | = 1 and |๐‘ ฬ‚ | = 1 ๐Ÿ^๐Ÿ+๐Ÿ^๐Ÿ+๐Ÿ ร— ๐Ÿ ร— ๐Ÿ ร—๐œ๐จ๐ฌโก๐œฝ=๐Ÿ 1+1+2 cosโกฮธ=1 2+2 cosโกฮธ=1 2 cosโกฮธ=1โˆ’2 2 cosโกฮธ=โˆ’1 ๐’„๐’๐’”โก๐œฝ=(โˆ’๐Ÿ)/๐Ÿ Thus, ฮธ = 120ยฐ ฮธ = ๐Ÿ๐…/๐Ÿ‘
  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

    3. CBSE Class 12 Sample Paper for 2021 Boards

    CBSE Class 12 Sample Paper for 2020 Boards →
CBSE Class 12 Sample Paper for 2020 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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