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Consider the equation of the straight li...

Consider the equation of the straight lines given by : `L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk)` `L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk)` If `veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk`, then find : the shortest distance between `L_1 and L_2`.

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Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : veca_2-veca_1

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : vecb_2-vecb_1

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : veca_1xxveca_2

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : vecb_1xxvecb_2

Consider the equation of the straight lines given by : L_1:vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) L_2:vecr=(2hati-hatj-hatk)+mu(2hati+hatj+2hatk) If veca_1=hati+2hatj+hatk, vecb_1=hati-hatj+hatk, veca_2=2hati-hatj-hatk, vecb_2=2hati+hatj+2hatk , then find : (vecb_1xxvecb_2)*(veca_2-veca_1)

Find the shortest distance between the lines vecr = (hati + 2hatj+hatk) + lambda(hati-hatj+hatk) and vecr = 2hati - hatj-hatk + mu(2hati+hatj+2hatk)

If veca = hati-hatj+hatk , vecb = 2hati-3hatj+hatk , then find |2vecaxxvecb|

Find the shortest distance between the lines whose equations are : vecr=hati+2hatj+hatk+lambda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

Find the shortest distance between the lines vecr_1=hati+2hatj-3hatk+lambda(3hati-4hatj-hatk) vecr_2=2hati-hatj+hatk+mu(hati+hatj+5hatk)

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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  2. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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  3. Consider the equation of the straight lines given by : L1:vecr=(hati+2...

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  4. Find the shortest distance between the following lines whose vector eq...

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  5. Find the shortest distance between the following lines whose vector eq...

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  6. Find the shortest distance between the following lines whose vector eq...

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  7. Find the shortest distance between the following lines whose vector eq...

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  8. Find the S.D. between the lines : x/2=y/-3=z/1 and (x-2)/3=(y-1)/-5=(z...

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  9. Find the shortest distance between given lines. (x-1)/1=(y-2)/-1=(z-1)...

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  10. Find the S.D. between the lines : (x-1)/2=(y-2)/3=(z-3)/2 and (x+1)/3=...

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  11. Find the angle between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (...

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  12. Find the S.D. between the lines : (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/-...

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  13. Determine whether or not the following pairs of lines intersect : vecr...

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  14. Determine whether or not the following pairs of lines intersect : vecr...

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  15. Determine whether or not the following pairs of lines intersect : (x-1...

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  16. Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-...

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  17. Find the shortest distance and the equation of the shortest distance b...

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  18. Find the shortest distance and the vector equation of the line of shor...

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  19. How many cubic feet are there in a room measuring 5m x 10m x 2m?

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  20. Write the vector equation of the following lines and hence find distan...

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