Check sibling questions

Ex 10.3, 1 - Find angle between two vectors a, b with magintudes root3

Ex 10.3, 1 - Chapter 10 Class 12 Vector Algebra - Part 2

This video is only available for Teachoo black users

Introducing your new favourite teacher - Teachoo Black, at only β‚Ή83 per month


Transcript

Ex 10.3, 1 Find the angle between two vectors π‘Ž βƒ— and 𝑏 βƒ— with magnitudes √3 and 2 ,respectively having π‘Ž βƒ— ⋅𝑏 βƒ— = √6 . π‘Ž βƒ— . 𝑏 βƒ— = "|" π‘Ž βƒ—"|" "|" 𝑏 βƒ—"|" cos ΞΈ where ΞΈ is the angle between π‘Ž βƒ— and 𝑏 βƒ— Given, |π‘Ž βƒ— | = √3, |𝑏 βƒ— | = 2 and π‘Ž βƒ—. 𝑏 βƒ— = √6 Putting values in formula π‘Ž βƒ—. 𝑏 βƒ— = |π‘Ž βƒ— ||𝑏 βƒ— | cos ΞΈ √6 = √3 Γ— 2 Γ— cos ΞΈ √3 Γ— √2 = √3 Γ— √2 Γ— √2 Γ— cos ΞΈ cos ΞΈ = 1/√2 ΞΈ = 𝝅/πŸ’ Thus, the angle π‘Ž βƒ— and 𝑏 βƒ— is πœ‹/4

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.