Find the vector and cartesian equations ...

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

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Find the vector equation of plane that passes through the point (1,0,-2) and the normal to the plane is hat(i)+hat(j)-hat(k) .

Find the vector and cartesian equations of the plane which passes through the point (5, 2, – 4) and perpendicular to the line with direction ratios 2, 3, – 1.

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

Find the vector and the Cartesian equations of the line through the point (5, 2, – 4) and which is parallel to the vector 3hati+2hatj-8hatk

Find the vector and cartesian equations of the plane which passes through the point (5,2,-4) and perpendicular to the line with direction ratios ,

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3hati + 2hatj - 2hatk

Find the vector and cartesian equation of the plane passing through the point (1,2,3) and perpendicular to the line with direction ratio lt2,3,-4gt .

Find the vectoer and cartesian equations of the line through the point (1,2,-4) and perpendicualr of the lines: vecr=(8hati-19hatj+10hatk)+lambda(3hati-16hatj+7hatk) and vecr=(15hati+29hatj+5hatk)+mu(3hati+8hatj-5hatk)

Find the equation of the plane passing through (a, b, c) and parallel to the plane vecr cdot(hati + hatj + hatk) = 2

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