Find whether the lines: vecr=(hati-hatj-...

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..

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

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

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

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.

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

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

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

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

Find the angle between the line vecr=(hati+2hatj-hatk)+lambda(hati-hatj+hatk) and the plane vecr.(2hati-hatj+hatk)=4 .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE

Find whether the lines: vecr=(hati-hatj-hatk)+lambda(2hati+hatj) and v...
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Find the distance of the point (2,3,4) from the x axis.
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If a line makes angles of 90^@,60^@ and theta with the x, y and z axis...
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If a line has direction cosines <2/3, -1/3, -2/3>, then find the direc...
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If a line has direction ratios <2,-1,-2>, then what are its direction ...
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Find the direction cosines of a line passing through the points (1,0,0...
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Find the direction cosines of the lines joining the points: (-1,-1,-1)...
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Find the direction ratios and direction cosines of the vector joining ...
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Write the direction cosines of the vector : -2hati+hatj-5hatk
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Write the direction cosines of the vector : hati+2hatj+3hatk
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Find the length of the projection of the line segment joining (3,4,5) ...
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Show that the following points are collinear : (1,2,3) , (2,6,3) , (3,...
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Find the acute angle between two lines whose direction ratios are <2,3...
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Find the obtuse angle between two lines whose direction ratios are : <...
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Find the angle between the lines whose direction ratios are : a,b,c...
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Find the direction cosines of the sides of the triangle whose vertices...
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Show that the three lines with direction cosines 12/13, -3/13, -4/13, ...
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The angle between the lines whose direction cosines are given by the ...
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Find the angle between the lines whose direction cosines are given by ...
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Find the area of the triangle ABC whose vertices are : A(1,2,4), B(-2,...
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Show that the line through the points (4, 7, 8), (2, 3, 4) is parallel...
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