" 53.Equation of the plane through "(3,4,-1)" which is parallel to the plane "quad bar(r),(2i-3bar(j)+5bar(k))+7=0" is "

The vector equation of the plane passing through bar(i)+(1)/(j)-bar(k) and parallel to the vectors 2bar(i)+3bar(j)-bar(k),bar(i)+2bar(j)+3bar(k) is

Find the Cartesian equation of the plane passing through the point (-2,1,3) and perpendicular to the vector 3bar(i) + bar(j) + 5bar(k) .

Find the vector equation of the plane which passes through the points 2bar(i)+4bar(j)+2bar(k), 2bar(i)+3bar(j)+5bar(k) and parallel to the vector 3bar(i)-2bar(j)+bar(k) . Also find the point where this plane meets the line joining the points 2bar(i)+bar(j)+3bar(k) and 4bar(i)-2bar(j)+3bar(k) .

The vector equation of the plane passing through the point 2bar(i)+2bar(j)-3bar(k) and parallel to the vectors 3bar(i)+3bar(j)-5bar(k), bar(i)+2bar(j)+bar(k) is

Find the vector equation of the plane passing through the point bar(i)+bar(j)+bar(k) and parallel to the vectors 2bar(i)+3bar(j)+4bar(k), bar(i)-2bar(j)+3bar(k) .

Find the equation of the line passing through the point 2bar(i)+3bar(j)-4bar(k) and parallel to the vector 6bar(i)+3bar(j)-2bar(k) in cartesian form.

Find the vector equation of the line passing through the point 2bar(i)+3bar(j)+bar(k) and parallel to the vector 4bar(i)-2bar(j)+3bar(k)

The vector equation of the plane passing through the origin and the point 4bar(j) and 2bar(j)+bar(k) is