# 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?

Category: QuestionsIf 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?
Editor">Editor Staff asked 11 months ago

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
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options
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