Example 4 - Find of x, y, z so that vectors a = xi + 2j + zk

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.