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Supplementary examples and questions from CBSE
Supplementary Example 2 Important Deleted for CBSE Board 2023 Exams
Supplementary Example 3 Deleted for CBSE Board 2023 Exams
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Supplementary Exercise Q1 Deleted for CBSE Board 2023 Exams
Supplementary Exercise Q2 Deleted for CBSE Board 2023 Exams
Supplementary Exercise Q3 Deleted for CBSE Board 2023 Exams
Supplementary Exercise Q4 Important Deleted for CBSE Board 2023 Exams
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Supplementary examples and questions from CBSE
Last updated at March 16, 2023 by Teachoo
Supplementary Exercise Q8 Find the value of 𝜆 if the point A (−1, 4, −3), B = (3, 𝜆, −5), C(−3, 8, −5) and D (−3, 2, 1) are coplanar Four points A, B, C, D are coplanar if the three vectors (𝐴𝐵) ⃗ , (𝐴𝐶) ⃗ and (𝐴𝐷) ⃗ are coplanar. i.e. [(𝑨𝑩) ⃗, (𝑨𝑪) ⃗, (𝑨𝑫) ⃗ ] = 0 A (−1, 4, −3), B (3, 𝜆, −5) (𝑨𝑩) ⃗ = (3 – (-1))𝑖 ̂ + (𝜆 − 4)𝑗 ̂ + (–5 –(-3)) 𝑘 ̂ = 4𝒊 ̂ + (𝜆 − 4)𝒋 ̂ − 2𝒌 ̂ A (−1, 4, −3), C(−3, 8, −5) (𝑨𝑪) ⃗ = (-3 – (-1))𝑖 ̂ + (8 − 4)𝑗 ̂ + (–5 –(-3)) 𝑘 ̂ = –2𝒊 ̂ + 4𝒋 ̂ − 2𝒌 ̂ A (−1, 4, −3), D (−3, 2, 1) (𝑨𝑫) ⃗ = (-3 – (-1))𝑖 ̂ + (2 − 4)𝑗 ̂ + (1 –(-3)) 𝑘 ̂ = –2𝒊 ̂ – 2𝒋 ̂ + 4𝒌 ̂ [(𝐴𝐵) ⃗, (𝐴𝐶) ⃗, (𝐴𝐷) ⃗ ] = |■8(4&(𝜆−4)&−[email protected]−2&4&−[email protected]−2&−2&4)| 0 = 4[(4×4)−(−2×−2) ] − (𝜆 − 4) [(−2×4)−(−2×−2)] + (−2)[(−2×−2)−(−2×4) ] 0 = 4 [16−4]−"(𝜆 − 4)" [−8−4]−2[4+8] 0 = 4(12) – "(𝜆 − 4)"(–12) − 2 (12) 0 = 48 + 12"𝜆" – 48 − 24 12"𝜆" = 24 "𝜆" = 24/12 "𝜆" = 2