If veca,vecb,vecc are the position vecto...

If `veca,vecb,vecc` are the position vectors of three collinear points, then which of the following is true?

`veca=vecb+vecc`

`2veca=vecb+vecc`

`vecb=vecc+veca`

`4veca+vecb+vecc=vec0`

Text Solution

Verified by Experts

The correct Answer is:

A, B, C

Topper's Solved these Questions

VECTOR ALGEBRA -I
SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -A (1- MARK)|9 Videos
VECTOR ALGEBRA -I
SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - B (2 - MARK)|5 Videos
VECTOR ALGEBRA -I
SURA PUBLICATION|Exercise EXERCISE 8.4|10 Videos
TWO DIMENSIONAL ANALYTICAL GEOMETRY
SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 Videos

Similar Questions

Explore conceptually related problems

Assertion (A) : veca,vecb,vecc are the position vector of three collinear points then 2 veca=vecb+vecc Reason (R ) : Collinear points, have same direction

If veca, vecb, vecc are three non-zero vectors, then which of the following statement(s) is/are true?

Let veca,vecb,vecc be three unit vectors such that 3veca+4vecb+5vecc=vec0 . Then which of the following statements is true? (A) veca is parrallel to vecb (B) veca is perpendicular to vecb (C) veca is neither parralel nor perpendicular to vecb (D) veca,vecb,vecc are copalanar

Three points A,B, and C have position vectors -2veca+3vecb+5vecc, veca+2vecb+3vecc and 7veca-vecc with reference to an origin O. Answer the following questions? Which of the following is true?

If veca, vecb and vecc are three non-zero vectors, no two of which are collinear, veca +2 vecb is collinear with vecc and vecb + 3 vecc is collinear with veca , then find the value of |veca + 2vecb + 6vecc| .

If veca, vecb, vecc, vecd are the position vectors of points A, B, C and D , respectively referred to the same origin O such that no three of these points are collinear and veca+vecc=vecb+vecd , then prove that quadrilateral ABCD is a parallelogram.

Given three vectors veca, vecb and vecc are non-zero and non-coplanar vectors. Then which of the following are coplanar.

If veca, vecb and vecc are three non-zero, non-coplanar vectors,then find the linear relation between the following four vectors : veca-2vecb+3vecc, 2veca-3vecb+4vecc, 3veca-4vecb+ 5vecc, 7veca-11vecb+15vecc .

SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.5

A vector makes equal angle with the positive direction of the coordina...
Text Solution
|
The vectors veca-vecb,vecb-vecc,vecc-veca are
Text Solution
|
If ABCD is a parallelogram, then vec(AB)+vec(AD)+vec(CB)+vec(CD) is e...
Text Solution
|
One of the diagonals of parallelogram ABCD with veca and vecb as adjac...
Text Solution
|
If veca,vecb are the position vectors A and B then which one of the fo...
Text Solution
|
If veca,vecb,vecc are the position vectors of three collinear points, ...
Text Solution
|
If vecr=(9veca+7vecb)/(16) then the point P whose position vector vecr...
Text Solution
|
If lambdahati+2lambdahatj+2lambdahatk is a unit vector,then the value ...
Text Solution
|
Two vertices of a triangle have position vectors 3hati+4hatj-4hatk and...
Text Solution
|
If |veca+vecb|=60,|veca-vecb|=40" ""and"" " |vecb|=46,"then" |veca|is
Text Solution
|
If veca and vecb having same magnitude and angle between them is 60^(@...
Text Solution
|
The value of thetain(0,(pi)/(2)) for which the vectors veca=(sintheta)...
Text Solution
|
If |veca|=13,|vecb|=5 and veca.vecb = 60 then |vecaxxvecb| is
Text Solution
|
Vectors veca and vecb are inclined at an angle theta = 120^(@). If |ve...
Text Solution
|
If veca and vecb are two vectors of magnitude 2 and inclined at an ang...
Text Solution
|
If the projection of 5hati-hatj-3hatk on the vector hati+3hatj+lambdah...
Text Solution
|
If (1,2,4) and (2,-3lambda,-3) are the initial and terminal points of ...
Text Solution
|
If the points whose position vectors 10hati+3hatj,12hati-5hatj and aha...
Text Solution
|
If veca=hati+hatj+hatk,vecb=2hati+xhatj+hatk,vecc=hati-hatj+4hatk and ...
Text Solution
|
If veca=hati+2hatj+2hatk,|vecb| =5 and the angle between veca and vecb...
Text Solution
|