Last updated at Aug. 11, 2021 by

Transcript

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

Miscellaneous

Misc 1
Important

Misc 2

Misc 3 Important

Misc 4

Misc 5 Important

Misc 6

Misc 7 Important

Misc 8 Important

Misc 9

Misc 10

Misc 11 Important

Misc 12 Important

Misc 13

Misc 14 Important

Misc 15 Important

Misc 16 (MCQ) Important

Misc 17 (MCQ) Important

Misc 18 (MCQ) Important

Misc 19 (MCQ) Important You are here

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.