InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
If a line is passing through two points \(A(x_1,y_1,z_1)\) and \(B(x_2,y_2,z_2)\) then which of the following is the vector equation of the line?(a) \(\vec{r}=\vec{a}+λ(\vec{b}+\vec{a})\)(b) \(\vec{r}=\vec{a}+λ(\vec{a}-\vec{b})\)(c) \(\vec{r}=λ\vec{a}+(\vec{b}-\vec{a})\)(d) \(\vec{r}=\vec{a}+λ(\vec{b}-\vec{a})\)The question was posed to me in my homework.My enquiry is from Three Dimensional Geometry in section Three Dimensional Geometry of Mathematics – Class 12 |
|
Answer» RIGHT choice is (d) \(\vec{r}=\vec{a}+λ(\vec{b}-\vec{a})\) To EXPLAIN: Let \(\vec{a} \,and\, \vec{b}\) are the position vectors of TWO points \(A(x_1,y_1,z_1)\) and \(B(x_2,y_2,z_2)\) Then the VECTOR equation of the line is given by the formula passing through two points will be given by \(\vec{r}=\vec{a}+λ(\vec{b}-\vec{a})\), λ∈R |
|