Question
Download Solution PDFकिरण P(1, -2, 4) से Q(-1, 1, -2) तक की दिशा कोसाइन क्या हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
माना कि \(\vec{A}\) निर्देशांक (x, y, z) के साथ एक सदिश है।
तो सदिश \(\vec{A}\) की दिशा कोसाइन निम्न दी गयी हैं\(\left\langle \frac{x}{\sqrt{\left( {{x}^{2}}+{{y}^{2}}+{{z}^{2}} \right)}},~\frac{y}{\sqrt{\left( {{x}^{2}}+{{y}^{2}}+{{z}^{2}} \right)}},~\frac{z}{\sqrt{\left( {{x}^{2}}+{{y}^{2}}+{{z}^{2}} \right)}} \right\rangle\)
गणना:
सदिश \(\overrightarrow{PQ}\) का निर्देशांक (-2, 3, -6) है।
यहाँ x = -2, y = 3, z = -6.
√(x2 + y2 + z2) = √(4 + 9 + 36) = 7
∴ सदिश \(\overrightarrow{PQ}\) की दिशा कोसाइन \(\left\langle \frac{-2}{7},\frac{3}{7},\frac{-6}{7} \right\rangle\) हैं।Last updated on May 31, 2025
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