The vector equation of the line joining the points (-2, -3, -4) and (1, -2, 4) is:

Question

The vector equation of the line joining the points $(- 2, - 3, - 4)$ and $(1, - 2, 4)$ is:

Smart Achievers · Accepted Answer

(3)

Ans. $\vec{r} = (- 2 \hat{i} - 3 \hat{j} - 4 \hat{k}) + λ (3 \hat{i} + \hat{j} + 8 \hat{k})$

Explanation:

$A (- 2, - 3, - 4) and B (1, - 2, 4)$

$\vec{a} = - 2 \hat{i} - 3 \hat{j} - 4 \hat{k}$

$\vec{b} = \hat{i} - 2 \hat{j} + 4 \hat{k}$

$\vec{r} = (- 2 \hat{i} - 3 \hat{j} - 4 \hat{k}) + λ (3 \hat{i} + \hat{j} + 8 \hat{k})$

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