Check sibling questions

Example 6 - Find unit vector in direction of a = 2i + 3j + k


Transcript

Example 6 Find unit vector in the direction of vector π‘Ž βƒ— = 2𝑖 Μ‚ + 3𝑗 Μ‚ + π‘˜ Μ‚ Given π‘Ž βƒ— = 2𝑖 Μ‚ + 3𝑗 Μ‚ + π‘˜ Μ‚ Magnitude of 𝒂 βƒ— = √(22+32+12) |𝒂 βƒ— | = √(4+9+1) = βˆšπŸπŸ’ Unit vector in direction of π‘Ž βƒ— = 𝟏/(π‘΄π’‚π’ˆπ’π’Šπ’•π’–π’…π’† 𝒐𝒇𝒂 βƒ— ) Γ— 𝒂 βƒ— 𝒂 Μ‚ = 1/√14 ["2" 𝑖 Μ‚" + 3" 𝑗 Μ‚" + 1" π‘˜ Μ‚ ] π‘Ž Μ‚ = 2/√14 𝑖 Μ‚ + 3/√14 𝑖 Μ‚ + 1/√14 π‘˜ Μ‚

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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.