The position vector of the point which d...

The position vector of the point which divides the join of points with position vectors `veca+vecb` and `2veca-vecb` in the ratio 1:2 is

`(3veca+2vecb)/3`

`veca`

`(5veca-vecb)/3`

`(4veca+vecb)/3`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

VECTOR ALGEBRA
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE - II : FILL IN THE BLANKS QUESTIONS)|27 Videos
VECTOR ALGEBRA
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE - III : TRUE RO FALSE QUESTIONS)|15 Videos
THREE DIMENSIONAL GEOMETRY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS:|56 Videos

Similar Questions

Explore conceptually related problems

The position vector of the point which divides the join of points with position vectors vec a+vec b and 2vec a-vec b inthe ratio 1: 2 is

Find the position vector of a point, which divides the join of the points with position vectors veca-2vecb and 2 veca + vecb externally in the ratio 2 : 1 .

The position vector of the point which divides the join of points 2veca-3vecb and veca+vecb in the ratio 3:1 is

Find the position vector of the point which divides the join of the points (2veca - 3vecb) and (3veca - 2vecb) (i) internally and (ii) externally in the ratio 2 : 3 .

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are P(2veca + vecb) and Q(veca-3vecb) externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ.

The locus of a point equidistant from two points with position vectors veca and vecb is

the angle between vectors veca × vecb and vecb × veca is

Position vector of mid point of vector joining the points P(2,3,6) and Q(4,5,-2) is : veca.vecb

state whether it is true or false: projection of a vector veca on vecb is veca.vecb

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS

The position vector of the point which divides the join of points with...
Text Solution
|
Prove that the figure formed by joining the mid-points of the pairs of...
Text Solution
|
If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatk,vecc=hati-2hatj+hatk, the...
Text Solution
|
If veca=2hati-hatj+3hatk,vecb =hati+hatj-hatk, vecc=3hati+4hatj-5hatk,...
Text Solution
|
If veca=5hati+hatj-4hatk, vecb=2hati-3hatj+hatk and vecc=hati+3hatj-2h...
Text Solution
|
Show that the points A(1,2,7), B(2,6,3) and C(3,10,-1) are collinear.
Text Solution
|
Show that the three points with position vectors 2hati+6hatj+3hatk,hat...
Text Solution
|
Show that the points : A(-2hati+3hatj+5hatk), B(hati+2hatj+3hatk) and ...
Text Solution
|
Show that . the points (2. 6, 3), (1, 2, 7) and (3, 10, -1) are collin...
Text Solution
|
Find the position vector of a point R which divides the line joining t...
Text Solution
|
Find the position vector of a point R which divides the line joining t...
Text Solution
|
Find the angle between two vectors veca and vecb with magnitudes sqrt3...
Text Solution
|
For any two vectors veca and vecb, prove that |veca.vecb|le|veca||vec...
Text Solution
|
For any two vectors veca and vecb, prove that : |veca+vecb|le|veca|+|v...
Text Solution
|
If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...
Text Solution
|
If |veca|=2, |vecb|=3 and |vecc|=4 and each of them is perpendiculart...
Text Solution
|
If |veca|=7, |vecb|=1 and |vecc|=5 and each of them is perpendicular ...
Text Solution
|
Let veca,vecb,vecc be the three vectors of magnitude 5, 3, I respectiv...
Text Solution
|
Find the scalar projection of : veca=2hati-hatj-3hatk on vecb=3hati-5h...
Text Solution
|
Find the scalar projection of : veca=7hati+3hatj+6hatk on vecb=5hati-2...
Text Solution
|
Find the scalar projection of vecb on veca where : veca=2hati-2hatj+ha...
Text Solution
|