If veca, vecb, vecc are the unit vectors...

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

`1/4`

`sqrt(15)/16`

`15/16`

`sqrt(15)/4`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

VECTORS
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|36 Videos
VECTORS
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (INTEGER TYPE)|4 Videos
VECTORS
VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
TRIGONOMETRIC IDENTITIES AND EQUATIONS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

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

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

If veca, vecb, vecc are unit vectors such that veca. vecb =0 = veca.vecc and the angle between vecb and vecc is pi/3 , then find the value of |veca xx vecb -veca xx vecc|

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 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

If veca, vecb, vecc and vecd ar distinct vectors such that veca xx vecc = vecb xx vecd and veca xx vecb = vecc xx vecd . Prove that (veca-vecd).(vecc-vecb)ne 0, i.e., veca.vecb + vecd.vecc nevecd.vecb + veca.vecc.

If veca, vecb, vecc are any three vectors such that (veca+vecb).vecc=(veca-vecb)vecc=0 then (vecaxxvecb)xxvecc is

VMC MODULES ENGLISH-VECTORS -JEE MAIN (ARCHIVE)

Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...
Text Solution
|
If veca, vecb, vecc are the unit vectors such that veca + 2vecb + 2vec...
Text Solution
|
If the position vectors of the vertices A,B and C of a triangleABC are...
Text Solution
|
Let veca = hati + hatj +hatjk, vecc =hatj - hatk and a vector vecb be ...
Text Solution
|
Let veca=2hati+hatj-2hatk and vecb=hati+hatj. Let vecc be a vector suc...
Text Solution
|
The area (in sq units) of the parallelogram whose diagonals are along ...
Text Solution
|
If the vector vecb = 3hati + 4hatk is written as the sum of a vector v...
Text Solution
|
let veca, vecb and vecc be three unit vectors such that veca xx (vecb ...
Text Solution
|
In a triangle ABC , right angled at the vertex A , if the position vec...
Text Solution
|
Let ABC be a triangle whose circumcenter is at P, if the positions vec...
Text Solution
|
Let veca, vecb and vecc be non-zero vectors such that (veca xx vecb) x...
Text Solution
|
Given |veca|=|vecb|=1 and |veca + vecb|= sqrt3 if vecc is a vector suc...
Text Solution
|
Given a parallelogram ABCD. If |AB|=a, |AD|=b, |AC|=c, then DB*AB has ...
Text Solution
|
If [veca xx vecb vecb xx vecc vecc xx veca]=lambda[veca vecb vecc]^2,...
Text Solution
|
If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are t...
Text Solution
|
Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...
Text Solution
|
Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...
Text Solution
|
veca =1/sqrt(10)(3hati + hatk) and vecb =1/7(2hati +3hatj-6hatk), then...
Text Solution
|
The vectors veca and vecb are not perpendicular and vecac and vecd are...
Text Solution
|
If the vectors phati+hatj+hatk, hati+qhatj+hatk and hati+hatj+rhatk(p!...
Text Solution
|