Example 7 - Chapter 10 Class 12 Vector Algebra

Last updated at December 16, 2024 by Teachoo

Example 7 - Find a vector in direction of vector a = i - 2j

Example 7 - Chapter 10 Class 12 Vector Algebra - Part 2

Take a fresh quiz. Then take another.

Every attempt is a new AI-adaptive Teachoo quiz with 5 questions, selected from your answers, mistakes, and progress.

Take short quiz More Quiz and Worksheets

Next: Example 8 Important → Remove Ads Share on WhatsApp

Transcript

Example 7 Find a vector in the direction of vector 𝑎 ⃗ = 𝑖 ̂ − 2𝑗 ̂ that has magnitude 7 units. Given 𝒂 ⃗ = 𝑖 ̂ – 2𝑗 ̂ = 1𝑖 ̂ – 2𝑗 ̂ + 0𝑘 ̂ Magnitude of 𝒂 ⃗ = √(12+(−2)2+02) |𝒂 ⃗ | = √(1+4+0) = √𝟓 Unit vector in direction of 𝑎 ⃗ = 𝟏/(𝑴𝒂𝒈𝒏𝒊𝒕𝒖𝒅𝒆 𝒐𝒇 𝒂 ⃗ ) × 𝒂 ⃗ 𝑎 ̂ = 1/√5 ["1" 𝑖 ̂" + " 2𝑗 ̂" + " 0𝑘 ̂ ] 𝑎 ̂ = 1/√5 𝑖 ̂ − 2/√5 𝑗 ̂ Thus, Vector having a magnitude 1 = 1/√5 𝑖 ̂ − 2/√5 𝑗 ̂ Vector having a magnitude 7 = 7[1/√5 " " 𝑖 ̂" − " 2/√5 " " 𝑗 ̂" " ] = 7/√5 " " 𝑖 ̂" − " 14/√5 " " 𝑗 ̂ Thus, required vector is 𝟕/√𝟓 " " 𝒊 ̂" − " 𝟏𝟒/√𝟓 " " 𝒋 ̂

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

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular