Find the scalar components and magnitude of the vector joining the points
`P(x_1,y_1,z_1)`and `Q(x_2,y_2,z_2).`

Find the position vector of the mid point of the vector joining the points P(2,3,4)and Q(4,1,-2).

Find the vector joining the points P(2,3,0) and Q(-1,-2,-4) . directed from P to Q .

Find the scalar and vector components of the vector with initial point (2,1) and terminal point(-5,7).

Write the coordinate of the centroid of the triangle whose vertices are (x_1,y_1,z_1) , (x_2,y_2,z_2) and (x_3,y_3,z_3)

(b)The coordinates of the point R which divides the line segment joining P(x1,y1,z1) and Q(x2,y2,z2) internally in the ratio m:n are given by…………

suppose that the mid point of the sides BC,CA and AB of a triangle Delta ABC are (5,7,11), (0,8,5) and (2,3,-1) If the vertices of the triangle are A(x_1,y_1,z_1), B(x_2,y_2,z_2) and C(x_3,y_3,z_3) derive nine equations in x_1,x_2,x_3,y_1,y_2,y_3,z_1,z_2, and z_3

The equation of the straight line making angles 60^(@),60^(@)and45^(@) with positive direction of the coordinate axes and passing through the point (2,1,-1) is a) sqrt(2)(x-2)=sqrt(2)(y-1)=(z+1) b) (x-2)=sqrt(2)(y-1)=(z+1) c) sqrt(2)(x-2)=(y-1)=(z+1) d) (x-2)=sqrt(2)(y-1)=sqrt(2)(z+1)