Three Dimensional Geometry
Xam Idea
CBSE
Grade 12
Question:
Cartesian equation of line passing through $(2, -1, 4)$ and parallel to vector $\hat{i} + 2\hat{j} - \hat{k}$ is:
(a) $\dfrac{x-2}{1} = \dfrac{y+1}{2} = \dfrac{z-4}{-1}$
(b) $\dfrac{x+2}{1} = \dfrac{y-1}{2} = \dfrac{z+4}{-1}$
(c) $\dfrac{x-1}{2} = \dfrac{y-2}{-1} = \dfrac{z+1}{4}$
(d) $\dfrac{x-2}{1} = \dfrac{y+1}{-1} = \dfrac{z-4}{2}$
Step-by-Step Solution
Key Concept: Standard Cartesian line equation.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $\dfrac{x-2}{1} = \dfrac{y+1}{2} = \dfrac{z-4}{-1}$
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