Example 6 - Chapter 10 Class 12 Vector Algebra

Last updated at April 16, 2024 by

Example 6 - Find unit vector in direction of a = 2i + 3j + k

Go Ad-free

Transcript

Example 6 Find unit vector in the direction of vector 𝑎 ⃗ = 2𝑖 ̂ + 3𝑗 ̂ + 𝑘 ̂ Given 𝑎 ⃗ = 2𝑖 ̂ + 3𝑗 ̂ + 𝑘 ̂ Magnitude of 𝒂 ⃗ = √(22+32+12) |𝒂 ⃗ | = √(4+9+1) = √𝟏𝟒 Unit vector in direction of 𝑎 ⃗ = 𝟏/(𝑴𝒂𝒈𝒏𝒊𝒕𝒖𝒅𝒆 𝒐𝒇𝒂 ⃗ ) × 𝒂 ⃗ 𝒂 ̂ = 1/√14 ["2" 𝑖 ̂" + 3" 𝑗 ̂" + 1" 𝑘 ̂ ] 𝑎 ̂ = 2/√14 𝑖 ̂ + 3/√14 𝑖 ̂ + 1/√14 𝑘 ̂

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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo