If `P(1,2,3)` and `Q(2,-1,4)` are two points then `|vec(PQ)|` is equal to

If P(1,2,3) and Q(-1,0,3) are two points then vec(PQ) is equal to

If P(1,2,3) and Q(-1,0,3) are two points,then vec(PQ) is equal to

If P(-1,2) and Q(3,-7) are two points, express the vectors vec(PQ) in terms of unit vectors hatiand hatj . Also find the distance between points P and Q. What is the unit vector in the direction of vec(PQ) ? Verify that magnitude of unit vector indeed unity.

If P(2,3,-6) and Q(3,-4,-6) are two points in the space. Find the direction cosines of vec(OP),vec(QO) and vec(PQ) , where Q is the origin.

A(2,3.0) and B(2,1,2) are two points.If the points P,Q are on the line AB such that AP=PQ=QB then PQ is Loo

Let P(2,-1,4) and Q(4,3,2) are two points and as point R on PQ is such that 3PQ=5QR , then the coordinates of R are

P(-3, 7) and Q(1, 9) are two points. Find the point R on PQ such that PR:QR = 1:1 .

If P-=(1,5,4) and Q-=(4,1,-2) find the direction ratios of vec(PQ)

If A=(1,2,3) and B(3,5,7) and P,Q are the points on AB such that AP=PQ=QB , then the mid point of PQ is

If O be the origin and P(2,3,4) and Q(1,-2,1) be any two points,show that OPOQ.