Find the angle between the unit vectors aΒ Μ πππ bΒ Μ , given that |aΒ Μ+bΒ Μ | = 1
Β
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
CBSE Class 12 Sample Paper for 2021 Boards
Question 1 (Choice 2) Important
Question 2
Question 3 (Choice 1) Important
Question 3 (Choice 2) Important
Question 4
Question 5 β Choice 1
Question 5 (Choice 2)
Question 6 Important
Question 7 (Choice 1)
Question 7 (Choice 2)
Question 8
Question 9 (Choice 1) Important
Question 9 (Choice 2)
Question 10 Important
Question 11
Question 12 Important You are here
Question 13
Question 14
Question 15 Important
Question 16
Question 17 (Case Based Question) Important
Question 18 (Case Based Question) Important
Question 19 Important
Question 20 (Choice 1)
Question 20 (Choice 2)
Question 21
Question 22 Important
Question 23 (Choice 1)
Question 23 (Choice 2)
Question 24
Question 25
Question 26 Important
Question 27 Important
Question 28 (Choice 1)
Question 28 (Choice 2) Important
Question 29
Question 30
Question 31 (Choice 1)
Question 31 (Choice 2) Important
Question 32 Important
Question 33
Question 34 (Choice 1)
Question 34 (Choice 2)
Question 35
Question 36 (Choice 1) Important
Question 36 (Choice 2)
Question 37 (Choice 1) Important
Question 37 (Choice 2) Important
Question 38 (Choice 1)
Question 38 (Choice 2) Important
CBSE Class 12 Sample Paper for 2021 Boards
Last updated at May 29, 2023 by Teachoo
Β
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Question 12 Find the angle between the unit vectors π Μ πππ π Μ , given that |π Μ+π Μ | = 1 Given |π Μ+π Μ |=1 Squaring both sides |π Μ+π Μ |^π=π^π |π Μ |^2+|π Μ |^2+2π Μ.π Μ=1 |π Μ |^π+|π Μ |^π+π|π Μ|.|π Μ | ππ¨π¬β‘γπ½ γ=π Since π Μ and π Μ are unit vectors, |π Μ | = 1 and |π Μ | = 1 π^π+π^π+π Γ π Γ π Γππ¨π¬β‘π½=π 1+1+2 cosβ‘ΞΈ=1 2+2 cosβ‘ΞΈ=1 2 cosβ‘ΞΈ=1β2 2 cosβ‘ΞΈ=β1 πππβ‘π½=(βπ)/π Thus, ΞΈ = 120Β° ΞΈ = ππ /π