Show that the lines : vecr=3hati+2hatj-4...

Show that the lines : `vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and vecr=5hati-2hatj+mu(3hati+2hatj+6hatk)` are intersecting. Hence, find their point of intersection.

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Show that the lines vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk)and vecr=5hati-2hatj+mu(3hati+2hatj+6hatk) are intersecting. Also, find the point of intersection.

Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr=(4hati-hatk)+mu(2hati+3hatk) are intersecting. Hence find their point of intersection.

Show that the lines vecr=hati+hatj+hatk+lambda(hati-hatj+hatk) and vecr=4hatj+2hatk+mu(2hati-hatj+3hatk) are coplanar.

Find whether the lines: vecr=(hati-hatj-hatk)+lambda(2hati+hatj) and vecr=(2hati-hatj)+mu (hati+hatj-hatk) intersect or not. If itersecting, find their point of intersection..

Find the angle between the lines vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and vecr=8hati-2hatj+mu(3hati+2hatj+5hatk) .

Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2hati-hatj)+mu(hati+hatk-hatk) do not intersect.

Find the angle between the lines vecr=2hati+3hatj-4hatk+lambda(2hati+1hatj+2hatk) and vecr=2hati-5hatk+mu(6hati+3hatj+2hatk)

Check whether the lines vecr=hati+hatj-hatk+lambda(3hati-hatj) and vecr=4hati-hatk+mu(2hati+hatk) intersect or not.

Find the equation of the line perpendicular to the lines : vecr=(3hati+2hatj-4hatk)+lambda(hati+2hatj-2hatk) and vecr=(5hatj-2hatk)+mu(3hati+2hatj+6hatk) and passing through the point (1,1,1)

Show that the line , vecr=2hati-3hatj+5hatk+lambda(hati-hatj+2hatk) lies in the plane vecr*(3hati+hatj-hatk)+2=0 .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE

Write the vector equation of the following lines and hence find distan...
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Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...
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Show that the lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) ...
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Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...
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Show that the lines: (x-1)/3=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)...
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Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...
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Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)...
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Show that the following lines are coplanar (5-x)/-4=(y-7)/-4=(z+3)/-5 ...
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Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...
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Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...
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Find the equations the lines joining the following pair of vertices : ...
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Find the equations the lines joining the following pair of vertices: (...
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Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1...
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Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...
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Find the equation of the plane with the intercept 5 on the y axis and ...
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Find the equation of the plane with intercept 4 on the z axis and para...
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Find the vector equation of a plane, which is at a distance of 7 uits ...
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Find the vector equation of a plane, which is at a distance of 5 units...
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Find the vector equation of the plane whose cartesian form of equation...
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Find the vector equation of the plane whose cartesian form of equation...
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