Find the vector equation of a lie passin...

Find the vector equation of a lie passing through the origin perpendicular to the plane `vecr.(hati+2hatj+3hatk)=3`.

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Find the vector equation of a line passing through the point A(1,-1,2) and perpendicular to the plane vecr.(2hati-hatj+3hatk)=5 .

Find the equation of a line passing through the point (1,2,3) and perpendicular to the plane vecr.(2hati-3hatj+4hatk) = 1 .

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

Find the vector equation of the line through the origin, which is perpendicular to the plane vec(r) . (hati - 2 hatj + hatk) = 3 .

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

Find the vector equation of a plane passing through the intersection of the planes vecr.(hati+hatj+hatk) = 6 and vecr. (2hati+3hatj+4hatk) - 5 = 0 and through the point (2,2,1) .

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk)=6, vecr.(2hati+3hatj+4hatk)=-5 and the point (1,1,1) .

Find the vector equation of the plane passing through the intersection of the planes vecr.(2hati-7hatj+4hatk)=3andvecr.(3hati-5hatj+4hatk)+11=0 and passing through the point (1,0,2).

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

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

RS AGGARWAL-THE PLANE-Exercise 28G

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Find the angle between the line vecr=(2hati-hatj+3hatk)+lambda(3hati-h...
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Find the angle between the line vecr.(3hati+hatk)+lambda(hatj+hatk) an...
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Find the angle between the line (x-2)/3=(y+1)/-1=(z-3)/2 and the plane...
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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 anlge between the line joining the points A(3,-4,-2) and B(12...
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If the plane 2x-3y-6z=13 makes an angle sin^(-1) with the x-axis, then...
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Show that the lne vecr=(2hati+5hatj+7hatk)+lambda(hati+3hatj+4hatk) is...
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Find the value of m for which the line vecr.=(hati+2hatk)+lambda(2hati...
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Find the vector equation of a lie passing through the origin perpendic...
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Show that the equation ax+by+d=0 represents a plane parallel to the z-...
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Find the equation of the plane passing through the points (1,2,3) and ...
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Find the equation of a plane passing through the point (2,-1,5), perpe...
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Find the equation of the plane passing through the intersection of the...
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Find the vector and Cartesian equations of the plane passing through t...
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Find the vector and Cartesian quations of the plane passing through th...
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Find the vector equation of a plane passing through the point (1,2,3) ...
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Find the Cartesian and vector eqauations of a plane passing through th...
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Find the vector equation of the plane passing through the point (3hati...
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