Vector equation of a plane is vecr.(2hat...

Vector equation of a plane is `vecr.(2hati+4hatj-3hatk)=5`. Write down the equation of the plane in the cartesian form.

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The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21 , find the length of the perpendicular from the origin to the plane.

Vector equations of a line if vecr=3hati-6hatj+7hatk+lambda(2hati-hatj+hatk) . Find te equations of the line in the symmetrical form.

A line passes through the point with position vector 2hati-hatj+4hatk and is in the direction of hati+hatj-2hatk . Find the equations for the line in vector and in cartesian form.

Write the equation of the following line vecr=hati+hatj+hatk+t(2hati-3hatj+6hatk) , t in R. in the cartestian form.

Find the vector equation of the line passing through the point (3,1,2) and perpendicular to the plane vecr*2hati-hatj+hatk)=4 . Also find the point of intersection of this line and the plane.

Find the vector equation of a line passing through the point with position vector (2hati-3hatj-5hatk) and perpendicular to the plane vecr*(6hati-3hatj-5hatk)+2=0 . Also, find the point of intersection of this line and the plane.

Show that the plane whose vector equation is vecr.(hati+2hatj-hatk)=3 contains the line whose vector equation is vecr=hati+hatj+lambda(2hati+hatj+4hatk) .

Vector equation of the plane r = hati-hatj+ lamda(hati +hatj+hatk)+mu(hati – 2hatj+3hatk) in the scalar dot product form is

Find the vector equation of the plane passing through the intersection of the planes vecr cdot (2hati+2hatj-3hatk) = 7, vecr cdot(2hati + 5hatj + 3hatk) = 9 and through the point (2, 1, 3)

Find the cartesian equations of the following planes: vecr*(2hati+3hatj-4hatk)=1

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE

Parametric equations a line are x=2-3t, y=-1+2t and z=3+t. write down ...
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Vector equations of a line if vecr=3hati-6hatj+7hatk+lambda(2hati-hatj...
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Vector equation of a plane is vecr.(2hati+4hatj-3hatk)=5. Write down t...
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What is the distance of the point (-1,2,1) from the plane 2x-3y+4z+5=0...
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Find p if the plane x+y-2z+6=0 is parallel to the plane px+3y-6z-1=0.
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Write the equation to the locus of a point which is always at a fixed ...
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Find the vector equations to the locus of a point whose distance from ...
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If the line drawn from the point (-2,-1,-3) meets a plane at right ang...
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Write the distance of the plane 2x-y+2z+1=0 from the origin.
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Write the direction of cosines of the line joining the poidnts (1,0,0)...
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Write the vector equations of the plane throught the point (a,b,c) and...
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If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...
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Distance of the point (2,5,-3) from the plane vec r.(6hat i-3 hat j+2 ...
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Write down the direction cosines of the line whose equations are 5x-3=...
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Write the sum of intercepts cut off by the plane vecr*(2hati+hatj-hatk...
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If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis re...
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Find the direction cosines of a line which makes equal angles with the...
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If a line has the direction ratios –18, 12, – 4, then what are its dir...
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Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear...
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Find the direction cosines of the sides of the triangle whose vertices...
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