Question
Download Solution PDFतल 2x - y - 2z + 1 = 0 और 3x - 4y + 5z - 3 = 0 के बीच का कोण क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
माना कि a1x + b1y + c1z + d1 = 0 और a2x + b2y + c2z + d2 = 0 कोई भी दो तल है, तो उनके बीच का कोण निम्न दिया गया है,
गणना:
दिए गए तल 2x - y - 2z + 1 = 0 और 3x - 4y + 5z - 3 = 0 हैं।
हम जानते हैं कि, a1x + b1y + c1z + d1 = 0 और a2x + b2y + c2z + d2 = 0 कोई भी दो तल है, तो उनके बीच का कोण निम्न दिया गया है,
यहाँ, a1 = 2, a2 = 3, b1 = - 1, b2 = - 4, c1 = - 2, c2 = 5.
⇒
अतः तल 2x - y - 2z + 1 = 0 और 3x - 4y + 5z - 3 = 0 के बीच का कोण
Last updated on Jun 20, 2025
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