Find the vector and Cartesian equations ...

Find the vector and Cartesian equations of the plane passing through the origin and parallel to the vectors `(hati+hatj-hatk)` and `(3hati-hatk)`.

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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) .

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

Find the vector equation of the plane passing through the point (3hati+4hatj+2hatk) and parallel to the vectors (hati+2hatj+3hatk) and (hati-hatj+hatk) .

Find the vector and cartesian equation of plane which passes through the point (1,3,-2) and normal to the vector (2hati+hatj-2hatk) .

Find the equation of the plane through the point (3,4,-5) and parallel to the vectors 3hati+hatj-hatk and hati-2hatj+hatk .

The cartesian equation of a line passing through the point (3,2,1) and is parallel to the vector 2hati + 2hatj - 3hatk is

Find the vector and cartesian equations of the plane that passes through the point (0, 1, -2) and normal to the vector hati + hatj + hatk .

Find the vector and cartesian equation of the line passing through the point P (1,2,3) and parallel to the planes : vec(r).(hati - hatj + 2 hatk) = 5. vec(r).(3hati + hatj + hatk) = 6.

RS AGGARWAL-THE PLANE-Exercise 28G

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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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