Find the points of intersection of the following pair of lines, assuming that the vectors $\to a$ and $\to b$ are not parallel.
$\to r = 2 a + 2 b + γ (a - b)$ ,
$\to r = 3 a + μ (b - a)$

Parallel Lines

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Skew Lines

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Intersecting Lines

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Coincident lines

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Solution

The correct option is A Parallel Lines

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Similar questions

\to a

\to b

\to r = \to a + μ \to b

\to r = \to b + γ \to a

\to a

\to b

\to r = γ (\to b + \to a), \to r = μ (\to b - \to a)

The point of intersection of the lines $\to r \times \to a = \to b \times \to a$ and $\to r \times \to b = \to a \times \to b$ is

\to r = 3 (a + c) + λ (b - c), \to r = 2 (b - c) + μ (a + b)

\to a =^i +^j

\to b = 2^i -^k

\to r \times \to a = \to b \times \to a

\to r \times \to b = \to a \times \to b

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