Home
Class 12
MATHS
P(2, -1, 4) and Q (4, 3, 2) are given po...

P(2, -1, 4) and Q (4, 3, 2) are given points. Find the prove which divides the line joining P and Q in the ratio 2 : 3. (i) Internally (ii) Externally (Using vector method).

Text Solution

Verified by Experts

The correct Answer is:
(i) `((14)/(5),(3)/(5),(16)/(5))` (ii) `(-2,-9,8)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.2|21 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Consider two points P and Q with position vectors vec(OP)=3hata-2vec(b) and vec(OQ)=vec(a)+vec(b) . Find the position vector of a point R which divides the line joining P and Q in the ratio 2 : 1, (i) internally, and (ii) externally.

Consider two points P and Q with position vectors vec(OP)=3veca-2vecb and vec(OQ)=veca+vecb . Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1 , (i) intermally , and (ii) externally.

Find the coordinates of the point which divides the join of (-1, -7) and (4,-3) in the ratio 2 : 3

Find the coordinates of the point which divides the line segment joining the points (1, -2, 3) and (3, 4, -5) in the ratio 2 : 3 (i) internally, and (ii) externally.

Find the coordinates of a point which divides externally the line joining (1, -3) and (-3, 9) in the ratio 1 : 3.

Find the coordinates of the point which divides the line segment joining the points (4,-3) and (8,5) in the ratio 3 : 1 internally.

Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8, 5) in the ratio 3 : 1 internally

If P (1,-3,4) and Q (-4,1,2) are given then d(PQ) = unit.

A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordinate of the line point P which divides the join of A and B in the ratio 2:3 internally are