If veca and vecb be two non-collinear un...

If `veca and vecb` be two non-collinear unit vectors such that `vecaxx(vecaxxvecb)=1/2vecb` ,then find the angle between `veca and vecb`.

Text Solution

Verified by Experts

`vecaxx (vecaxxvecb) =1/2 vecb Rightarrow(veca.vecb)veca-(veca.veca) vecb= 1/2vecb`
`Rightarrrow veca.vecb = 0 , veca. Veca = -1/2 ` ( which is not possible).
thus, the given information is inconsistent.

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise single correct answer type|28 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Exercise 2.2|15 Videos
CONIC SECTIONS
CENGAGE ENGLISH|Exercise All Questions|1344 Videos
LIMITS AND DERIVATIVES
CENGAGE ENGLISH|Exercise All Questions|691 Videos

Similar Questions

Explore conceptually related problems

If veca,vecb and vecc are non coplanar and unit vectors such that vecaxx(vecbxxvecc)=(vecb+vecc)/sqrt2 then the angle between veca and vecb is (A) (3pi)/4 (B) pi/4 (C) pi/2 (D) pi

If sqrt3|vecAxx vecB|= vecA*vecB , then find the angle between vecA and vecB .

If |veca - vecb|=|veca| =|vecb|=1 , then the angle between veca and vecb , is

If veca and vecb asre two vectors such that |veca|=2, |vecb| = 7 and vecaxxvecb=3hati+6hatk find the angle between veca and vecb

If veca,vecb are two unit vectors such that |veca + vecb| = 2sqrt3 and |veca -vecb|=6 then the angle between veca and vecb , is

If veca and vecb are unit vectors such that (veca +vecb). (2veca + 3vecb)xx(3veca - 2vecb)=vec0 then angle between veca and vecb is

If veca and vecb are two vectors, such that veca.vecblt0 and |veca.vecb|=|vecaxxvecb| then the angle between the vectors veca and vecb is (a) pi (b) (7pi)/4 (c) pi/4 (d) (3pi)/4

If veca" and "vecb are any two vectors such |veca+vecb|=|veca-vecb| find the angle between veca" and "vecb

Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(veca.vecb)vecb and vecv=vecaxxvecb , then |vecv| is

If veca and vecb are two non collinear unit vectors and |veca+vecb|=sqrt(3) then find the value of (veca-vecb).(2veca+vecb)

CENGAGE ENGLISH-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise 2.3

If veca , vecb , vecc and vecd are four non-coplanar unit vectors such...
Text Solution
|
If vecl,vecm,vecn are three non coplanar vectors prove that [vec vecm ...
Text Solution
|
if the volume of a parallelpiped whose adjacent egges are veca=2hati+3...
Text Solution
|
If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the v...
Text Solution
|
If vecx . Veca =0, vecx. Vecb=0 and vecx. vecc=0 for some non-zero vec...
Text Solution
|
If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the v...
Text Solution
|
If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc...
Text Solution
|
If veca= vecP + vecq, vecP xx vecb = vec0 and vecq. vecb =0 then prove...
Text Solution
|
Prove that (veca.(vecbxxhati))hati+(veca.(vecbxxhatj))hatj+ (veca.(vec...
Text Solution
|
for any four vectors veca,vecb, vecc and vecd prove that vecd. (vecax...
Text Solution
|
If veca and vecb be two non-collinear unit vectors such that vecaxx(ve...
Text Solution
|
show that (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) if and only if veca a...
Text Solution
|
Let veca, vecb and vecc be non-zero vectors such that no two are colli...
Text Solution
|
If vecp, vecq , vecr denote vectors vecbxxvecc, vecc xx vecc xx veca, ...
Text Solution
|
Let veca, vecb , vecc be non -coplanar vectors and let equations veca'...
Text Solution
|
Given unit vectors hatm hatn and hatp such that angle between hatm and...
Text Solution
|
vec a , vec b ,a n d vec c are three unit vectors and every two are...
Text Solution
|
Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(2)hatj+b(3)hatk and vecc=c(...
Text Solution
|