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Lines Perpendicular to the Same Line Are Parallel

Find the angl...

Question

Find the angle between the following pairs of lines:

(i)

(ii) and

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Solution

(i) Let Q be the angle between the given lines.

The angle between the given pairs of lines is given by,

The given lines are parallel to the vectors, and , respectively.

(ii) The given lines are parallel to the vectors, and , respectively.

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Q. Find the angle between the following pairs of lines:

\to r = 3^i +^j - 2^k + λ (^i +^j - 2^k)

\to r = 2^i -^j - 56^k + μ (3^i - 5^j - 4^k)

Find the shortest distance between the lines

Q. Find the shortest distance between the lines

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\to r = 2^i +^j -^k + μ (3^i - 5^j + 2^k)

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.

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Lines Perpendicular to the same line are parallel

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Lines Perpendicular to the Same Line Are Parallel

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