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

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Question 3 If (2š‘– Ģ‚ + 6š‘— Ģ‚ + 27š‘˜ Ģ‚ ) Ɨ (š‘– Ģ‚ + pš‘— Ģ‚ + qš‘˜ Ģ‚) = 0 āƒ— , 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 (2š‘– Ģ‚ + 6š‘— Ģ‚ + 27š‘˜ Ģ‚ ) Ɨ (š‘– Ģ‚ + pš‘— Ģ‚ + qš‘˜ Ģ‚) = 0 āƒ— Therefore, |ā– 8(š‘– Ģ‚&š‘— Ģ‚&š‘˜ Ģ‚@2&6&27@1&š‘&š‘ž)|=0š‘– Ģ‚+0š‘— Ģ‚+0š‘˜ Ģ‚ š‘– Ģ‚(6q ā€“ 27p) ā€“ š‘— Ģ‚(2q ā€“ 27) + š‘˜ Ģ‚(2p ā€“ 6) = 0š‘– Ģ‚+0š‘— Ģ‚+0š‘˜ Ģ‚ Comparing 6q ā€“ 27p = 0 2q ā€“ 27 = 0 2q = 27 q = 27/2 2p ā€“ 6 = 0 2p = 6 p = 6/2 = 3 Therefore, p = 3, q = šŸšŸ•/šŸ So, (b) is the correct answer

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.