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Find the equation of the line in vector and in cartesian form that passes through the point with position vector `2 hat i- hat j+4 hat k` and is in the direction ` hat i+2 hat j- hat k` .

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Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2hat i-hat j+4hat k and is in the direction hat i+2hat j-hat k

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Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find the Cartesian equation of a line which passes through the point having position vector (2hat(i) -hat(j) + 4hat(k)) and is in the direction of the vector , (hat(i) +2hat(j) -hat(k))

Find the image of the point with position vector (3hat i+hat j+2hat k) in the plane vec r*(2hat i-hat j+hat k)=4

Find the vector equation of a plane passing through the point having position vector 2 hat(i) + hat(j) + hat(k) and perpendicular to the vector : 4 hat(i) - 2 hat(j) + 3hat(k) .

A unit vector perpendicular to the plane passing through the points whose position vectors are hat i-hat j+2hat k,2hat i-hat k and 2hat i+hat k is

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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -NCERT-FILE (EXERCISE 11.2)
  1. Show that the three lines with direction cosines (12)/(13),(-3)/(13),...

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  2. Show that the line through the points (1,-1,2) and (3,4-2) is perpe...

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  3. Show that the line through the points (4, 7, 8), (2, 3, 4)is parallel...

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  4. The equation of a line which passes through the point ( 1, 2...

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  5. Find the equation of the line in vector and in cartesian form that ...

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  6. Find the cartesian equation of the line which passes through the poin...

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  7. The vector equationm of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is

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  8. Find the vector and Cartesiasn equation of the line that passes throug...

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  9. Find the vector and the cartesian equations of the line that passes th...

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  10. Find the angle between the following pairs of lines : (i)vec(r) = 2 ...

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  11. Find the angle between the following pair of lines , (i) (x - 2)/(2)...

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  12. Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)...

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  13. Show that the lines (x+5)/(7) = (y +2)/(-5) = (z)/(1) and (x)/(1) = (y...

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  14. Find the shortest distance betwee the lines : vec(r) = (hati + 2 hat...

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  15. Find the shortest distance between the lines ( x + 1 ...

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  16. Find the shortest distance between the lines whose vector equations ar...

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  17. Find the shortest distance between the following lines whose vector...

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