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Equation of a Plane : Vector Form

The vector eq...

Question

The vector equation of line passing through two points $A (x_{1}, y_{1}, z_{1}), B (x_{2}, y_{2}, z_{2})$ is

\to r = \to a - \to b

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\to r = \to a + λ (\to b - \to a)

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\to r = \to a + λ \to b

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\to r = \to a + \to b

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Solution

The correct option is B $\to r = \to a + λ (\to b - \to a)$
Given points
$A (x_{1}, y_{1}, z_{1})$ and $B (x_{2}, y_{2}, z_{2})$
position vector of point A
$\to a = x_{1}^i + y_{1}^j + z_{1}^k$
position vector of point B
$\to b = x_{2}^i + y_{2}^j + z_{2}^k$
normal vector of line be
$\to n = \to b - \to a$
eq of line
$\to r = \to a + λ (\to b - \to a)$

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Similar questions

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