Question
Download Solution PDFशीर्ष (0,2,2), (2,0,-1) और (3,4,0) वाले त्रिभुज का क्षेत्रफल क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
जब दो सदिश दिए गए हैं, तो त्रिभुज का क्षेत्रफल:
पार गुणनफल:
गणना:
यहाँ, माना कि A = (0,2,2), B = (2,0,-1) और C =(3,4,0) है।
AB = (2-0, 0-2, -1-2) = (2, -2, -3) और
AC = (3-0, 4-2, 0-2) = (3, 2, -2)
त्रिभुज का क्षेत्रफल =
=1/2(10 i + 5 j + 10 k)
= 1/2 √(100 + 25 + 100)
= 15/2 वर्ग इकाई
अतः विकल्प (1) सही है।
Last updated on Jul 8, 2025
->UPSC NDA Application Correction Window is open from 7th July to 9th July 2025.
->UPSC had extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.