InterviewSolution
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InterviewSolution
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A line passes through thepoint with position vector `2 hat i-3 hat j+4 hat k`and is in the direction of `3 hat i+4 hat j-5 hat kdot`Find the equations of theline in vector and Cartesian forms. |
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Answer» Since the line passes through `2hati-3hatj+4hatk` and has direction of `3hati+4hatj-5hatk`, its vector equation is `" "vecr=hata+lamdahatbrArrvecr=2hati-3hatj+4hatk+lamda(3hati+4hatj-5hatk)`, where `lamda` is a parameter.`" "`(i) Cartesian equivalent of (i) is `(x-2)/(3)=(y+3)/(4)=(z-4)/(-5)` |
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