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 August 14, 2026 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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