[" Ind the vector equation of the plane passing through three points with position vectors "],[+{-2k,2hat i-hat j+hat k" and "hat i+2hat j+k" .Also,find the coordinates of the point of intersection of "],[qquad " is plane and the line "vec r=3hat i-hat j-hat k+lambda(2hat i-2hat j+hat k)" ."]

Find the vector equation of the plane passing through three points with position vectors hat i+hat j-2hat k,hat i-hat j+hat k and hat i+2hat j+hat k .Also find the coordinates of the point of intersection of this plane and the line vec r=3hat i-hat j-hat k+lambda(2hat i-2hat j+hat k)

Find the vector equation of the plane passing through three points with position vectors hat i+hat j-2hat k2hat i-hat j+hat k and hat i+2hat j+hat k Also find the coordinates of the point of intersection of this plane and the line vec r=3hat i-hat j-hat k+lambda(2hat i-2hat j+hat k)

Find the vector equation of the plane passing through three points with position vectors hat i+ hat j-2hatk, 2hat i-\ hat j+ hat k and hat i+2 hat j+ hat kdot Also find the coordinates of the point of intersection of this plane and the line vec r=3 hat i-\ hat j- hat k+lambda(2 hat i-\ 2 hat j+ hat k)dot

Find the vector equation of the plane passing through three points with position vectors hat i+ hat j-2hatk, 2hat i-\ hat j+ hat k and hat i+2 hat j+ hat kdot Also find the coordinates of the point of intersection of this plane and the line vec r=3 hat i-\ hat j- hat k+lambda(2 hat i-\ 2 hat j+ hat k)dot

Find the vector equation of the plane passing through the points having position vectors hat i+hat j-2hat k,2i-hat j+hat k and hat i+2hat j+hat k

A unit vector perpendicular to the plane passing through the points whose position vectors are hat i-hat j+2hat k,2hat i-hat k and 2hat i+hat k is

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot