If the points with position vectors `10 hat i+3 hat j ,12 hat i-5 hat j` and `a hat i+11 hat j` are collinear, find the value of `adot`

If the points with position vectors 60hat i+2hat j,40hat i-8hat j and adot i-52hat j are collinear,find the value of a .

For what value of m are the points with position vectors 10hat(i)+3hat(j), 12hat(i)-5hat(j) and m hat(i)+11 hat(j) collinear ?

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

For what value of m are the point with position vectors, 10 hat(i) + 3hat(j), 12 hat(i) - 5hat(j) and m hat(i) + 11 hat(j) collinear?

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)

If the vectors 2 hat(i) - q hat(j) + 3 hat(k) and 4 hat(i) - 5 hat(j) + 6 hat(k) are collinear then find the value of q.

Find the value of mu if the points with position vectors hat i - hat j + 3 hat k and 3 hat i + 4 hat j+ mu hat k are equidistant form the plane hat r .(5 hat i + 2 hat j - 7 hat k )+ 8 =0

Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 hat i+ hat j+3 hat k\ a n d-4 hat i+3 hat j- hat k are collinear.

If the four points with positing vectors,-2hat i+hat j+hat k,hat i+hat j+hat k,hat j-hat k and lambdahat j+hat k are coplanar,then lambda is equal to