Find the equation of the plane passing t...

Find the equation of the plane passing through (a,b,c) and paralle toteh plne `vecr.(hati+hatj+hatk)=2`.

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The correct Answer is:

`vecr.(hati+hatj+hatk)+a+b+c`

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(i) Find the equations of the plane passing through (a,b,c) and parallel to the plane vec(r) . (hati + hatj + hatk) = 2 . (ii) Find the vector equation of the plane through the point hati + hatj + hatk and parallel to the plane vec(r). (2 hati - hatj + 2 hatk) = 5 .

Find the vector equation o the line passing through (1,2,3) and parallel to the planes vecr.(hati+hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr*(hati-hatj+2hatk)=5 and vecr*(3hati+hatj+hatk)=6 .

Find vector equations of the plane passing through A(-2,7,5) and parallel to vectors 4 hati -hatj +3hatk and hati +hatj -hatk .

Find the equation of the plane passes through the point (2,1,-2) and parallel to the plane vecr.(3hati+hatj-hatk) = 0 .

Find the equation of the plane through (3,4,-1) which is parallel to the plane vecr.(2hati-3hatj+5hatk)+7=0

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

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

Find the equation of the plane through the point (3,4,-1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+7=0

Find the vector and Cartesian equations of the plane passing through the point (1,2,-4) and parallel to the lines vecr=(hati+2hatj+hatk)-lambda(2hati+3hatj+6hatk) and vecr=(hati-3hatj+5hatk)+mu(hati+hatj-hatk) .

RS AGGARWAL-THE PLANE-Exercise 28J

The equation of a plane parallel to x-axis is
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Write the intercept cut off by the plane 2x+y-z=5 on x-a xi sdot
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Write the intercepts made by the plane 4x-3y+2z=12 on the coordinate a...
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Reduce the equation 2x-3y+5z+4=0 to intercept form and find the interc...
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Find the equation of a plane passing through the points A(a,0,0), B(0,...
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Write the value of k for which the planes 2x-5y+kz=4 and x+2y-z=6 are ...
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Find the angle between the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7...
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Find the angle between the planes vecr.(hati+hatj)=1 and vecr.(hati+ha...
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Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr....
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Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...
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Find the angle between the line vecr=(hati+hatj-2hatk)+lambda(hati-hat...
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Find the value of lambda such that the line (x-2)/6=(y-1)/lambda=(z+5)...
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Find the equation of the plane passing through (a,b,c) and paralle tot...
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Find the length of the perpendicular drawn from the origin to the p...
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Find the direction cosines of the perpendicular from the origin to th...
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Show that the line vecr=(4hati-7hatk)+lambda(4hati-2hatj+3hatk) is par...
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Find the length of perpendicular from the origin to the plane vecr.(2h...
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Find the value of lambda for which the line (x-1)/2=(y-1)/3=(z-1)/lamb...
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Write the angle between the line (x-1)/2=(y-2)/1=(z+3)/-2 and the plan...
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Write the equation of a plane passing through the point (2,-1,0) and p...
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