Let a -i-j and b-2i-k- then point of intersection of the lines r-a-b-a and r-b-a-b is

Intersecting and Non-Intersecting Lines

Let a =i+j an...

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Let \overrightarrow a =i+j and \overrightarrow b=2i-k, then point of intersection of the lines \overrightarrow r×\overrightarrow a=\overrightarrow b×\overrightarrow a and \overrightarrow r×\overrightarrow b=\overrightarrow a×\overrightarrow b is

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\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

\to a =^i +^j; \to b = 2^i -^k

\to r

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

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

\to r = (1 \to i + 2 \to j + 3 \to k) + t (- 2 \to i + \to j + \to k)

\to r = (2 \to i + 3 \to j + 5 \to k) + s (\to i + 2 \to j + 3 \to k)

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 a = -^i -^k,^b = -^i +^j

\to c =^i + 2^j + 3^k

\to r

\to r \times \to b = \to c \times \to b

\to r \cdot \to a = 0,

\to r \cdot \to b =

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