The points with position vectors `10hati+3hatj,12hati-5hatj and ahati+11hatj` are collinear, if a is equal to

The points with position vectors 60hati+3hatj,40hati-8hatj, ahati-52hatj are collinear if (A) a=-40 (B) a=40 (C) a=20 (D) none of these

If the points with position vectors 20 hati + p hatj , 5 hati - hatj and 10 hati - 13 hatj are collinear, then p =

If the points with position vectors 20 hati + p hatj , 5 hati - hatj and 10 hati - 13 hatj are collinear, then p =

If points hati+hatj, hati -hatj and p hati +qhatj+rhatk are collinear, then

Find the condition that the three points whose position vectors, a=ahati+bhatj+chatk,b=hati+chatj and c=-hati-hatj are collinear.

If P, Q, R are three points with respective position vectors hati + hatj, hati -hatj and a hati + b hatj + c hatk . The points P, Q, R are collinear, if

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are coplanar, then m is equal to

The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, if

Find the vector equation of a line passing thorugh a point with position vector 2hati-2hatj+hatk and parallel to the line joining the point with the position vectors -hati+3hatj+hatk and 2hati+hatj+3hatk . Also find the Cartesian equation of this line.

Find the value of lambda for which the four points with position vectors 6hati-7hatj, 16hati-19hatj, lambdahatj-6hatk and 2hati-5hatj+10hatk are coplanar.