If veca,vecbandvecc are unit vectors suc...

If `veca,vecbandvecc` are unit vectors such that `veca+vecb+vecc=0`, then the value of `veca.vecb+vecb.vecc+vecc.veca` is

A

`3/2`

B

`-1`

C

0

D

`-3/2`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

MOTION IN A PLANE
DISHA PUBLICATION|Exercise Exercise -2 : CONCEPT APPLICATOR|28 Videos
MOTION IN A PLANE
DISHA PUBLICATION|Exercise Exercise -2 : CONCEPT APPLICATOR|28 Videos
MECHANICAL PROPERTIES OF FLUIDS
DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|24 Videos
MOTION IN A STRAIGHT LINE
DISHA PUBLICATION|Exercise Exercise-2|30 Videos

Similar Questions

Explore conceptually related problems

If veca,vecb,vecc are three unit vectors such that veca+vecb+vecc=0, then veca.vecb+vecb.vecc+vecc.veca is equal to (A) -1 (B) 3 (C) 0 (D) -3/2

if veca , vecb ,vecc are three vectors such that veca +vecb + vecc = vec0 then

If veca, vecb, vecc are three non-zero vectors such that veca + vecb + vecc=0 and m = veca.vecb + vecb.vecc + vecc.veca , then:

If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=0 then veca.vecb+vecb.vecc+vecc.veca= (A) 3/2 (B) -3/2 (C) 2/3 (D) 1/2

If two out to the three vectors , veca, vecb , vecc are unit vectors such that veca + vecb + vecc =0 and 2(veca.vecb + vecb .vecc + vecc.veca) +3=0 then the length of the third vector is

For any three vectors veca, vecb, vecc the value of [(veca-vecb, vecb-vecc, vecc-veca)] , is

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

For any three vectors veca, vecb, vecc the value of [(veca+vecb,vecb+vecc,vecc+veca)] is

If veca, vecb are the unit vectors such that veca + 2vecb + 2vecc=0 , then |veca xx vecc| is equal to:

DISHA PUBLICATION-MOTION IN A PLANE -Exercise -1 : CONCEPT BUILDER (TOPICWISE)

Let vecC=vecA+vecB
Text Solution
|
vecA and vecB are two vectors and theta is the angle between them, i...
Text Solution
|
If veca,vecbandvecc are unit vectors such that veca+vecb+vecc=0, then ...
Text Solution
|
Two forces are acting as shown in figure. The resultant of the two for...
Text Solution
|
What is the area of triangle formed by vecA=2hati-3hatj+4hatk and vecB...
Text Solution
|
If vecA=4hati+6hatj and vecB=2hati+3hatj . Then
Text Solution
|
Following three forces keep a body in equilibrium. vecF1=hati+3hatj+2h...
Text Solution
|
Forces of 4 N and 5 N are applied at origin along X-axis and Y-axis re...
Text Solution
|
The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...
Text Solution
|
The linear velocity of a rotating body is given by vec(v)=vec(omega)xx...
Text Solution
|
The angles which the vector A=3hati + 6hatj+2hatk makes with the co-or...
Text Solution
|
The resultant of vecp and vecq makes angle alpha "with " vecp and be...
Text Solution
|
A vector of magnitude b is rotated through angle theta. What is the ch...
Text Solution
|
Given vecP. vecQ=|vecPxxvecQ| and vecR=vecP+vecQ then |vecR| is
Text Solution
|
P ,Q and R are three coplanar forces acting at a point and are in equi...
Text Solution
|
Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 an...
Text Solution
|
If rain falls vertically with a velocity Vr and wind blows with a velo...
Text Solution
|
A river flows with a speed more than the maximum speed with which a pe...
Text Solution
|
A ship A is moving westwards with a speed of 10 km h^(-1) and a ship B...
Text Solution
|
A boat is moving with a velocity 2i + 3j with respect to ground. The w...
Text Solution
|