The position vectors of `P` and `Q` are respectively `a` and `b`. If `R` is a point on `PQ` such that `PR=5PQ`, then the position vector of `R` is

The position vectors of P and Q are respectively vec a and vec b . If R is a point on vec(PQ) such that vec(PR) = 5 vec(PQ), then the position vector of R, is

If a,b are the position vectors of A,B respectively and C is a point on AB produced such that AC=3AB then the position vector of C is

bara,barb are position vectors of points A and B. If P divides AB in the ratio 3:1 and Q is the mid-point of AP, then position vectors of Q will be

If the position vectors of P and Q be respectively hati+3hatj-7hatk and 5hati-2hatj+4hatk and vec(PQ)

The coordinates of P and Q are (-3, 4) and (2, 1), respectively. If PQ is extended to R such that PR=2QR , then what are the coordinates of R ?

The coordinates of P and Q are (- 3, 4) and (2, 1), respectively. If PQ is extended to R such that PR = 2QR, then what are the coordinates of R ?

A and B are two points. The position vector of A is 6b-2a. A point P divides the line AB in the ratio 1:2. if a-b is the position vector of P, then the position vector of B is given by