If the position vector of a point `(-4,\ -3)b e\ vec a ,\ `find`\ | vec a|dot`

If the position vector of a point (-4,-3) be vec a , find |a| .

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is

If the position vectors of the points A(3,4),B(5,-6) and (4,-1) are vec a , vec b , vec c respectively compute vec a+2 vec b-3 vec c

If the position vectors of the points A(3,4),B(5,-6) and C (4,-1) are vec a , vec b , vec c respectively compute vec a+2 vec b-3 vec c

If the position vector of these points are vec(a) -2vec(b)+3 vec(c ), 2 vec(a)+3vec(b)-4 vec( c) ,-7 vec(b) + 10 vec(c ) , then the three points are

Write the position vector of the point where the line vec r= vec a+lambda vec b meets the plane vec r dot (vec n)=0.

If vec a , vec b are the position vectors of the points (1,-1),(-2,m), find the value of m for which vec a and vec b are collinear.

Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are vec(a) , vec(b) , vec(c ) and (vec(a) + vec(b) + vec(c ))/(4) respectively, then the position vector of the orthocentre of this triangle is

P is a point on the line through the point A whose position vector is vec a and the line is parallel to the vector vec b . If P A=6, the position vector of P is: (a) vec a+6 vec b (b) vec a+6/(| vec b|) vec b (c) vec a-6 vec b/(| vec b|) (d) vec b+6/(| vec a|) vec a

If vec a , vec b are the position vectors of A , B respectively, find the position vector of a point C in A B produced such that A C=3A B and that a point D in B A produced such that B D=2B A .