Question 15 (OR 2nd Question) - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at December 16, 2024 by Teachoo

Vector of magnitude 5 units and in the direction opposite to

2i + 3j − 6k is ____________

Vector of magnitude 5 units and in direction opposite to 2i + 3j - 6k

Question 15 (OR 2nd Question) - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

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Transcript

Question 15 (OR 2nd Question) Vector of magnitude 5 units and in the direction opposite to 2𝑖 ̂ + 3𝑗 ̂ − 6𝑘 ̂ is ____________ Let 𝑎 ⃗ = 2𝑖 ̂ + 3𝑗 ̂ – 6𝑘 ̂ Magnitude of 𝑎 ⃗ = √(22+32+(−6)2) |𝑎 ⃗ | = √(4+9+36) = √49 = 7 Unit vector opposite to direction of 𝑎 ⃗ = –1 × 1/|𝑎 ⃗ | . 𝑎 ⃗ = (−1)/7 (2𝑖 ̂ + 3𝑗 ̂ – 6𝑘 ̂) Thus, Vector with magnitude 1 opposite to 𝑎 ⃗ = (−1)/7 (2𝑖 ̂ + 3𝑗 ̂ – 6𝑘 ̂) Vector with magnitude 5 opposite to 𝑎 ⃗ = (−5)/7 (2𝑖 ̂ + 3𝑗 ̂ – 6𝑘 ̂) = 5/7 (–2𝑖 ̂ – 3𝑗 ̂ + 6𝑘 ̂) Hence, the required vector is 𝟓/𝟕 (–2𝒊 ̂ – 3𝒋 ̂ + 6𝒌 ̂)

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Davneet Singh

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

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