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)`.

The cartesian equation of the line passing through the point (2, -1, 4) and parallel to the vector bar(i)+bar(j)-2bar(k) is

The vector equation of the line passing through the point bar(i)-2bar(j)+bar(k) and perpendicular to the vectors 2bar(i)-3bar(j)-bar(k),bar(i)+4bar(j)-2bar(k) is

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

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)

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 Cartesian equation of the plane passing through the points with position vectors bar(i), bar(j) and bar(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 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.