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MATH Solutions By PHANI
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#🏆పోటీ పరీక్షల స్పెషల్
#👩💻టెట్/DSC ప్రత్యేకం
#📘ఇంటర్ సైన్స్ & మ్యాథ్స్
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![👩💻టెట్/DSC ప్రత్యేకం - Show that the points A, B, C with position vectors 19 2i - j + k, i - 3j - Sk 4j _ 4k and 3i _ respectively, are the vertices of a right-angled triangle Hence find the area ofthe triangle [AI2017] Given points are -j+1), B(i - 3j 501 5k) A(2i and _ (31 4j - 4k) (i - 3j - 51) - (2i _ j + k) = -i - 2j - 6k AB = BC 4j - 4k) - ({ - 3j - 5k) = 21 - j + k (3i _ (2i _ j + k) - (3i _ 4j - 4k) = -i + 3j + 5k CA Me notice BC.CA = _ 2 _ 3 + $ = 0 BC LCA triangle ABC is right-angled at C. K i j 1 1 CB | 3 5 Area of CA -1 X २ 2 2 _1 2/8i 11j - 5k | [ + v210 sq units 64 + 121 + 25 2 2 Show that the points A, B, C with position vectors 19 2i - j + k, i - 3j - Sk 4j _ 4k and 3i _ respectively, are the vertices of a right-angled triangle Hence find the area ofthe triangle [AI2017] Given points are -j+1), B(i - 3j 501 5k) A(2i and _ (31 4j - 4k) (i - 3j - 51) - (2i _ j + k) = -i - 2j - 6k AB = BC 4j - 4k) - ({ - 3j - 5k) = 21 - j + k (3i _ (2i _ j + k) - (3i _ 4j - 4k) = -i + 3j + 5k CA Me notice BC.CA = _ 2 _ 3 + $ = 0 BC LCA triangle ABC is right-angled at C. K i j 1 1 CB | 3 5 Area of CA -1 X २ 2 2 _1 2/8i 11j - 5k | [ + v210 sq units 64 + 121 + 25 2 2 - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_534004_a68e7a7_1772381532717_sc.jpg?tenant=sc&referrer=pwa-sharechat-service&f=717_sc.jpg "👩💻టెట్/DSC ప్రత్యేకం - Show that the points A, B, C with position vectors 19 2i - j + k, i - 3j - Sk 4j _ 4k and 3i _ respectively, are the vertices of a right-angled triangle Hence find the area ofthe triangle [AI2017] Given points are -j+1), B(i - 3j 501 5k) A(2i and _ (31 4j - 4k) (i - 3j - 51) - (2i _ j + k) = -i - 2j - 6k AB = BC 4j - 4k) - ({ - 3j - 5k) = 21 - j + k (3i _ (2i _ j + k) - (3i _ 4j - 4k) = -i + 3j + 5k CA Me notice BC.CA = _ 2 _ 3 + $ = 0 BC LCA triangle ABC is right-angled at C. K i j 1 1 CB | 3 5 Area of CA -1 X २ 2 2 _1 2/8i 11j - 5k | [ + v210 sq units 64 + 121 + 25 2 2 Show that the points A, B, C with position vectors 19 2i - j + k, i - 3j - Sk 4j _ 4k and 3i _ respectively, are the vertices of a right-angled triangle Hence find the area ofthe triangle [AI2017] Given points are -j+1), B(i - 3j 501 5k) A(2i and _ (31 4j - 4k) (i - 3j - 51) - (2i _ j + k) = -i - 2j - 6k AB = BC 4j - 4k) - ({ - 3j - 5k) = 21 - j + k (3i _ (2i _ j + k) - (3i _ 4j - 4k) = -i + 3j + 5k CA Me notice BC.CA = _ 2 _ 3 + $ = 0 BC LCA triangle ABC is right-angled at C. K i j 1 1 CB | 3 5 Area of CA -1 X २ 2 2 _1 2/8i 11j - 5k | [ + v210 sq units 64 + 121 + 25 2 2 - ShareChat")