Check sibling questions

Example 5 - Let a = i + 2j, b = 2i + j. Is |a| = |b|? - Examples

Example 5 - Chapter 10 Class 12 Vector Algebra - Part 2


Transcript

Example 5 Let π‘Ž βƒ— = 𝑖 Μ‚ + 2𝑗 Μ‚ and 𝑏 βƒ— = 2𝑖 Μ‚ + 𝑗 Μ‚ . Is |π‘Ž βƒ— | = |𝑏 βƒ— | ? Are the vectors π‘Ž βƒ— and 𝑏 βƒ— equal? Given 𝒂 βƒ— = 𝑖 Μ‚ + 2𝑗 Μ‚ & 𝒃 βƒ— = 2𝑖 Μ‚ + 𝑗 Μ‚ So, we can we can write, 𝒂 βƒ— = 1𝑖 Μ‚ + 2𝑗 Μ‚ + 0π‘˜ Μ‚ & 𝒃 βƒ— = 2𝑖 Μ‚ + 1𝑗 Μ‚ + 0π‘˜ Μ‚ Magnitude of 𝒂 βƒ— |π‘Ž βƒ— | = √(12+22+02) = √5 Magnitude of 𝒃 βƒ— |𝑏 βƒ— | = √(22+12+02) = √5 Therefore, |𝒂 βƒ— | = |𝒃 βƒ— | Checking if 𝒂 βƒ— and 𝒃 βƒ— are equal π‘Ž βƒ— = 1𝑖 Μ‚ + 2𝑗 Μ‚ + 0π‘˜ Μ‚ & 𝑏 βƒ— = 2𝑖 Μ‚ + 1𝑗 Μ‚ + 0π‘˜ Μ‚ Comparing corresponding components, As 1 β‰  2 Thus, π‘Ž βƒ— and 𝑏 βƒ— are not equal since their corresponding components are distinct.

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.