Question 3 - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by Teachoo

If (2i + 6j + 27k ) × (i + pj + qk ) = 0 , then the values of p and q are?

(a) p = 6, q = 27 (b) p = 3, q = 27/2

(c) p = 6, q = 27/2 (d) p = 3, q = 27

If (2i + 6j + 27k ) x (i + pj + qk ) = 0 , then the values of p and q

Question 3 - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

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Transcript

Question 3 If (2𝑖 ̂ + 6𝑗 ̂ + 27𝑘 ̂ ) × (𝑖 ̂ + p𝑗 ̂ + q𝑘 ̂) = 0 ⃗ , then the values of p and q are? (a) p = 6, q = 27 (b) p = 3, q = 27/2 (c) p = 6, q = 27/2 (d) p = 3, q = 27 Given (2𝑖 ̂ + 6𝑗 ̂ + 27𝑘 ̂ ) × (𝑖 ̂ + p𝑗 ̂ + q𝑘 ̂) = 0 ⃗ Therefore, |■8(𝑖 ̂&𝑗 ̂&𝑘 ̂@2&6&27@1&𝑝&𝑞)|=0𝑖 ̂+0𝑗 ̂+0𝑘 ̂ 𝑖 ̂(6q – 27p) – 𝑗 ̂(2q – 27) + 𝑘 ̂(2p – 6) = 0𝑖 ̂+0𝑗 ̂+0𝑘 ̂ Comparing 6q – 27p = 0 2q – 27 = 0 2q = 27 q = 27/2 2p – 6 = 0 2p = 6 p = 6/2 = 3 Therefore, p = 3, q = 𝟐𝟕/𝟐 So, (b) is the correct answer

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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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