Find the angle between the planes whose ...

Find the angle between the planes whose vector equations are `vecr cdot(2hati+2hatj - 3hatk) = 5` and `vecr cdot(3hati-3hatj+5hatk) = 3`

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Find the shortest distance between the lines whose vector equations are vecr = (hati+2hatj+3hatk) +lambda(hati-3hatj+2hatk) and vecr = 4hati+5hatj+6hatk+mu(2hati+3hatj+hatk)

Find the shortest distance between the following lines whose vector equations are : vecr=(hati+2hatj-4hatk)+lambda(2hati+3hatj+6hatk) and vecr=(3hati+3hatj+5hatk)+mu(-2hati+3hatj+6hatk)

Find the shortest distance between the following lines whose vector equations are : vecr=(hati+2hatj-4hatk)+lambda(2hati+3hatj+6hatk) and vecr=(3hati+3hatj-5hatk)+mu(2hati+3hatj+6hatk)

Find the shortest distance between the following lines whose vector equations are : vecr=(4hati-hatj)+lambda(hati+2hatj-3hatk) and vecr=(hati-hatj+2hatk)+mu(2hati+4hatj-5hatk)

1 Find the shortest distance between the lines l_1 and l_2 whose vector equations are: vecr = hati+hatj+lambda(2hati-hatj+hatk) , and vecr = 2hati+hatj-hatk+mu(3hati-5hatj+2hatk)

Find the angle between the planes: vecr.(hati+hatj)=1 and vecr.(hati+hatk)=3 .

Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vecr*(3hati-3hatj+5hatk)=3

Find the shortest distance between the following lines whose vector equations are : vecr=(hati-hatj+2hatk)+lambda(-2hati+hatj+3hatk) and vecr=(2hati+3hatj-hatk)+mu(3hati-2hatj+2hatk)

Find the shortest distance between two lines whose vector equations are : vecr=3hati+8hatj+3hatk+lambda(3hati-hatj+hatk) and vecr=-3hati-7hatj+6hatk+mu(-3hati+2hatj+4hatk)

Find the acute angle between the planes vecr.(hati+2hatj-hatk)=3 and vecr.(2hati-hatj+2hatk)=2 .

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE

Find the vector equation of the plane passing through the intersection...
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Find the equation of the plane through the intersection of the planes ...
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Find the angle between the planes whose vector equations are vecr cdot...
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In the following determine whether the given planes are parallel or pe...
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In the following determine whether the given planes are parallel or pe...
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In the following determine whether the given planes are parallel or pe...
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Find the angle between them 2x-y+3z-1=0 and 2x-y+3z=0.
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In the following case, determine whether the given planes are parallel...
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In the following exercises find the distances of each of the given poi...
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Show that the line joining the origin to the point (2, 1, 1) is perpen...
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If l1, m1, n1 and l2, m2, n2 are the direction cosines of two mutually...
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Find the angle between the lines whose direction ratios are a, b, c an...
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Find the equation of a line parallel to x-axis and passing through the...
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If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...
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If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-1)/(1)=...
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Find the vector equation of the line passing through (1, 2, 3) and per...
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Write the vector equations of the plane throught the point (a,b,c) and...
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Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...
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Find the coordinates of the points where the line through (5,1,6) and ...
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Find the coordinates of the point where the line through (5,1,6) and (...
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