Example 4 - Chapter 10 Class 12 Vector Algebra
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Examaple 4 Find the values of x, y and z so that the vectors 𝑎 ⃗ = x𝑖 ̂ + 2𝑗 ̂ + z𝑘 ̂ and 𝑏 ⃗ = 2𝑖 ̂ + y𝑗 ̂ + 𝑘 ̂ are equal. 𝑎 ⃗ = x𝑖 ̂ + 2𝑗 ̂ + 𝑧𝑘 ̂ 𝑏 ⃗ = 2𝑖 ̂ + y𝑗 ̂ + 𝑘 ̂ Since 𝑎 ⃗ = 𝑏 ⃗ Comparing corresponding components, Thus, x = 2 , y = 2 & z = 1 𝑎 ⃗ = x𝑖 ̂ + 2𝑗 ̂ + 𝑧𝑘 ̂ 𝑏 ⃗ = 2𝑖 ̂ + y𝑗 ̂ + 𝑘 ̂ Since 𝑎 ⃗ = 𝑏 ⃗ Comparing corresponding components, Thus, x = 2 , y = 2 & z = 1
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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