Find the vector equation of the plane through the points `A(3,-5,-1),B(-1,5,7)` and parallel to the vector `3hati-hatj+7hatk`

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

Find the vector equation of a line through the point (-3, 2, -4) and is parallel to the vector 3hati + 2hatj+ 4hatk .

Find the vector equation of the plane through the point (3hati+4hatj-hatk) and parallel to the plane vecr(2hati-3hatj+5hatk)+5=0 .

The equation of a line passing through the point (4,-2,5) and parallel to the vector 3hati -hatj + 2hatk is

Find the equation of the plane through the point (3,4,-1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+7=0

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) .

The vector equation of the plance passing through the point (-1 ,2 , -5) and parallel to vectors 4hati-hatj+3hatkand hati+hatj-hatk is

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 .