Supplementary Example 4
Last updated at Aug. 24, 2021 by Teachoo
Last updated at Aug. 24, 2021 by Teachoo
Transcript
Supplementary Example 4 Show that the vectors ๐ โ = ๐ ฬ โ 2๐ ฬ + 3๐ ฬ, ๐ โ = โ2๐ ฬ + 3๐ ฬ โ 4๐ ฬ and ๐ โ = ๐ ฬ โ 3๐ ฬ + ๐๐ ฬ are co-planar if ๐ = 5 Three vectors ๐ โ, ๐ โ, ๐ โ are coplanar if [๐ โ" " ๐ โ" " ๐ โ ] = 0 Given, ๐ โ = ๐ ฬ โ 2๐ ฬ + 3๐ ฬ ๐ โ = โ2๐ ฬ + 3๐ ฬ โ 4๐ ฬ ๐ โ = ๐ ฬ โ 3๐ ฬ + ฮป๐ ฬ [๐ โ" " ๐ โ" " ๐ โ ] = |โ 8(1&โ2&3@โ2&3&โ4@1&โ3&๐)| 0 = 1[(3รฮป)โ(โ3รโ4) ] โ (โ2) [(โ2รฮป)โ(1รโ4) ] + 3[(2รโ3)โ(1ร3) ] 0 = 1 [3ฮปโ12]+2[โ2ฮปโ(โ4)]+3[6โ3] 0 = 3ฮป โ 12 โ 4ฮป + 8 + 9 0 = โ ฮป + 5 ๐ = 5 Therefore, ๐ โ,๐,๐ โ are coplanar if ฮป = 5
Supplementary examples and questions from CBSE
Supplementary Example 2 Important Deleted for CBSE Board 2022 Exams
Supplementary Example 3 Deleted for CBSE Board 2022 Exams
Supplementary Example 4 Deleted for CBSE Board 2022 Exams You are here
Supplementary Example 5 Important Deleted for CBSE Board 2022 Exams
Supplementary Example 6 Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q1 Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q2 Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q3 Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q4 Important Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q5 Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q6 Important Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q7 Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q8 Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q9 Important Deleted for CBSE Board 2022 Exams
Supplementary Exercise Q10 Deleted for CBSE Board 2022 Exams
Supplementary examples and questions from CBSE
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