Let veca,vecb and vecc be the non zero v...

Let `veca,vecb and vecc` be the non zero vectors such that `(vecaxxvecb)xxvecc=1/3 |vecb||vecc|veca.` if theta is the acute angle between the vectors `vecb and veca` then theta equals (A) `1/3` (B) `sqrt(2)/3` (C) `2/3` (D) `2sqrt(2)/3`

`(2sqrt(2))/(3)`

`(sqrt(2))/(3)`

`(2)/(3)`

`1/3`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise For Session 1|13 Videos
PRODUCT OF VECTORS
ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos
PROBABILITY
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos
PROPERTIES AND SOLUTION OF TRIANGLES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Let veca,vecb and vecc be non-zero vectors such that no two are collinear and (vecaxxvecb)xxvecc=1/3|vecb||vecc|veca If theta is the acute angle between the vectors vecb and vecc then sin theta equals

Let veca, vecb and vecc be non-zero vectors such that no two are collinear and (vecaxxvecb)xxvecc=1/3 |vecb||vecc|veca if theta is the acute angle between vectors vecb and vecc then find value of sin theta .

Let veca, vecb and vecc be three unit vectors such that vecaxx(vecbxxvecc)=(sqrt(3))/2(vecb+vecc) . If vecb is not parallel to vecc , then the angle between veca and vecb is

Let veca , vecb and vecc be unit vectors such that veca+vecb+vecc=vecx, veca.vecx =1, vecb.vecx = 3/2 ,|vecx|=2 then find theh angle between vecc and vecx .

let veca, vecb and vecc be three unit vectors such that veca xx (vecb xx vecc) =sqrt(3)/2 (vecb + vecc) . If vecb is not parallel to vecc , then the angle between veca and vecb is:

If veca, vecb, vecc be three vectors of magnitude sqrt(3),1,2 such that vecaxx(vecaxxvecc)+3vecb=vec0 if theta angle between veca and vecc then cos^(2)theta is equal to

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

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)

Let veca,vecb and vecc be the non zero vectors such that (vecaxxvecb)x...
Text Solution
|
Let O be the origin and let PQR be an arbitrary triangle. The point S ...
Text Solution
|
Let O be the origin and OX, OY, OZ be three unit vectors in the direct...
Text Solution
|
Let O be the origin, and O X , O Y , O Z be three unit vectors ...
Text Solution
|
Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...
Text Solution
|
Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...
Text Solution
|
If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...
Text Solution
|
The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...
Text Solution
|
Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...
Text Solution
|
Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...
Text Solution
|
Let P, Q, R and S be the points on the plane with position vectors -2h...
Text Solution
|
If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...
Text Solution
|
If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...
Text Solution
|
The edges of a parallelopiped are of unit length and are parallel to ...
Text Solution
|
Lelt two non collinear unit vectors hata and hatb form and acute angle...
Text Solution
|
Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...
Text Solution
|
The number of distinct real values of lambda, for which the vectors -l...
Text Solution
|
Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...
Text Solution
|
Let A be vector parallel to line of intersection of planes P1 and P2. ...
Text Solution
|
Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...
Text Solution
|
If vec a , vec b and vec c are three non-zero, non coplanar vecto...
Text Solution
|