Two particles move in space, so that at each instant t the position vector of each particle, A and B, is given respectively by (image). Do the particle paths intersect at any position? If so, determine the position in which this happens.

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Two particles move in space, so that at each instant t the position vector of each particle, A and B, is given respectively by (image). Do the particle paths intersect at any position? If so, determine the position in which this happens.

TA(t) = 2t i + (8t – 7) 3+ (5 – 4ť²) k
TB(t) = (t² – 1) i + (5t + 1) j+ (t – 6) k
Transcribed Image Text:TA(t) = 2t i + (8t – 7) 3+ (5 – 4ť²) k TB(t) = (t² – 1) i + (5t + 1) j+ (t – 6) k
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