Check sibling questions

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


Transcript

Examaple 4 Find the values of x, y and z so that the vectors π‘Ž βƒ— = x𝑖 Μ‚ + 2𝑗 Μ‚ + zπ‘˜ Μ‚ and 𝑏 βƒ— = 2𝑖 Μ‚ + y𝑗 Μ‚ + π‘˜ Μ‚ are equal. π‘Ž βƒ— = x𝑖 Μ‚ + 2𝑗 Μ‚ + π‘§π‘˜ Μ‚ 𝑏 βƒ— = 2𝑖 Μ‚ + y𝑗 Μ‚ + π‘˜ Μ‚ Since π‘Ž βƒ— = 𝑏 βƒ— Comparing corresponding components, Thus, x = 2 , y = 2 & z = 1 π‘Ž βƒ— = x𝑖 Μ‚ + 2𝑗 Μ‚ + π‘§π‘˜ Μ‚ 𝑏 βƒ— = 2𝑖 Μ‚ + y𝑗 Μ‚ + π‘˜ Μ‚ Since π‘Ž βƒ— = 𝑏 βƒ— Comparing corresponding components, Thus, x = 2 , y = 2 & z = 1

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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.