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
CBSE Class 12 Sample Paper for 2020 Boards
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Question 3 You are here
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CBSE Class 12 Sample Paper for 2020 Boards
Last updated at April 16, 2024 by Teachoo
Question 3 If (2š Ģ + 6š Ģ + 27š Ģ ) Ć (š Ģ + pš Ģ + qš Ģ) = 0 ā , 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 ) Ć (š Ģ + pš Ģ + qš Ģ) = 0 ā Therefore, |ā 8(š Ģ&š Ģ&š Ģ@2&6&27@1&š&š)|=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 = šš/š So, (b) is the correct answer