Find the distance between the skew lines P(t) = (-3, –5,4) +t (5, 1, –5) and Q(t) = (1,4, –2) + t (-1, –1,-4). Take the cross product of the slope vectors of P and Q to find a vector normal to both of these lines. dictanco

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
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Find the distance between the skew lines P(t) = (-3,–5,4)+t (5, 1, –5) and Q(t) = (1,4, –2) + t (-1,–1, –4). Hint:
Take the cross product of the slope vectors of P and Q to find a vector normal to both of these lines.
distance =
Transcribed Image Text:Find the distance between the skew lines P(t) = (-3,–5,4)+t (5, 1, –5) and Q(t) = (1,4, –2) + t (-1,–1, –4). Hint: Take the cross product of the slope vectors of P and Q to find a vector normal to both of these lines. distance =
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