Saved Bookmarks
| 1. |
बिन्दुओं \( 2 \hat{i}-3 \hat{j}-\hat{k} \) तथा \( 8 \hat{i}-\hat{j}+3 \hat{k} \) को मिलाने वाली सरल रेख का समीकरण ज्ञात कीजिए। |
|
Answer» \(\vec r=\vec a+\lambda(\vec b-\vec a)\) where \(\vec a\) = 2\(\hat i\) - 3\(\hat j\) - \(\hat k\) \(\vec b=8\hat i-\hat j+3\hat k\) \(\therefore\) Equation of required line is \(\vec r=\vec a+\lambda(\vec b-\vec a)\) = \((2\hat i-3\hat j-\hat k)\) + \(\lambda((8\hat i-\hat j+3\hat k)-(2\hat i-3\hat j-\hat k))\) = \((2\hat i-3\hat j-\hat k)\) + \(\lambda((8-2)\hat i+(-1+3)\hat j+(3-(-1))\hat k)\) = \((2\hat i-3\hat j-\hat k)\) + \(\lambda(6\hat i+2\hat j+4\hat k)\) |
|