Chapter 10 Class 12 Vector Algebra
Ex 10.2, 9
Ex 10.2, 10 Important
Ex 10.2, 13 Important
Ex 10.2, 17 Important
Example 14 Important
Example 16 Important
Example 21 Important
Ex 10.3, 2
Ex 10.3, 3 Important
Ex 10.3, 10 Important
Ex 10.3, 13 Important
Ex 10.3, 16 Important
Example 23 Important
Example 24
Example 25 Important
Ex 10.4, 2 Important
Ex 10.4, 5 Important
Ex 10.4, 9 Important
Ex 10.4, 10
Ex 10.4, 11 (MCQ) Important
Example 28 Important
Example 29 Important
Example 30 Important
Misc 6
Misc 12 Important
Misc 13
Misc 15 Important
Misc 19 (MCQ) Important You are here
Chapter 10 Class 12 Vector Algebra
Last updated at April 16, 2024 by Teachoo
Misc 19 If ΞΈ is the angle between any two vectors π β and π β, then |π β" β " π β | = |π β" Γ " π β | when ΞΈ is eq |π β" β " π β | π β" β " π β = |π β ||π β | cosβ‘"ΞΈ" |π β" β " π β | = ||π β ||π β |cosβ‘"ΞΈ" | = |π β ||π β ||πππβ‘"ΞΈ" | |π β" " Γ" " π β | π β Γ π β = |π β ||π β | π ππβ‘"ΞΈ" π Μ |π β Γ π β | = ||π β ||π β |β‘γsin" ΞΈ " π Μ γ | = |π β ||π β ||sin" ΞΈ|" |π Μ | = |π β ||π β ||π¬π’π§" ΞΈ|" As π Μ is unit vector, |π Μ | = 1 Given, |π β" β " π β | = |π βΓπ β | Putting values |π β ||π β | |πππ β‘"ΞΈ" | = |π β ||π β | |π ππβ‘"ΞΈ" | |πππβ‘"ΞΈ" | = |πππβ‘"ΞΈ" | This is only possible for ΞΈ = π /π Therefore, the angle between the vectors π β and π β is π/4,= So, option (B) is correct. ual to (A) 0 (B) π/4 (C) π/2 (D) Ο