Find the angle between two vectors veca ...

Find the angle between two vectors `veca and vecb` with magnitudes `sqrt(3)` nd 2 respectively such that `veca.vecb=sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:

`'theta'=(pi)/(4)`.

Topper's Solved these Questions

VECTOR ALGEBRA
MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.4)|12 Videos
VECTOR ALGEBRA
MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.5)|7 Videos
VECTOR ALGEBRA
MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.2)|19 Videos
THREE DIMENSIONAL GEOMETRY
MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

The angle between two vectors veca and vecb with magnitudes sqrt(3) and 4, respectively and veca.vecb = 2sqrt(3) is:

Find the angle between two vectors veca and vecb with magnitudes 1 and 2 respectively and satisfying veca.vecb.=1

The angle between two vectros vecaandvecb with magnitudes sqrt3 and 4, respectively and veca.vecb=2sqrt3 is

Find the angle between unit vector veca and vecb so that sqrt(3) veca - vecb is also a unit vector.

Find the angle between the vectors veca and vecb if |veca|=2|vecb|=3" and " veca.vecb=1 if veca=hati+hatj+hatk and vecb=hati-hatj-hatk .

If veca=2hati+3hatj+6hatk and vecb=6hati+3hatj-2hatk , find the angle, between vectors veca and vecb . Also find unit vector perpendicular to both veca and vecb

Find the angle between the vectors veca+vecb and veca-vecb if veca=2hati-hatj+3hatk and vecb=3hati+hatj-2hatk .

Three vectors veca,vecb , vecc with magnitude sqrt2,1,2 respectively follows the relation veca=vecbxx(vecbxxvecc) the acute angle between the vectors vecb and vecc is theta . then find the value of 1+tantheta is

If veca and vecb are any two vectors of magnitude 2 and 3 respectively such that |2(vecaxxvecb)|+|3(veca.vecb)|=k then the maximum value of k is

MODERN PUBLICATION-VECTOR ALGEBRA -Ncert File Question from Ncert Book (Exercise 10.3)

Find the angle between two vectors veca and vecb with magnitudes sqrt(...
Text Solution
|
Find the angle between the vectors hat i-2 hat j+3 hat ka n d3 hat...
Text Solution
|
Find the projection of the vector hat i- hat jon the vector hat i+ ...
Text Solution
|
Find the projection of the vector hat i+3 hat j+7 hat kon the vector...
Text Solution
|
Show that each of the given three vectors is a unit vector: 1/7(2 hat...
Text Solution
|
find |veca|,|vecb| if (veca+vecb).(veca-vecb)=8 and |veca|=8|vecb|
Text Solution
|
Evaluate the product (3vec(a)-5vec(b)).(2vec(a)+7vec(b)).
Text Solution
|
Find the magnitude of two vectors vec a\ a n d\ vec b having the sam...
Text Solution
|
Find |vec(x)|, if for a unit vector vec(a), (vec(x)-vec(a)).(vec(x)+ve...
Text Solution
|
If vectors veca = 2hati + 2hatj +3hatk,vec b=-hati+2hatj+hatk and vec ...
Text Solution
|
Show that |vec(a)|vec(b)+|vec(b)|vec(a) is perpendicular to |vec(a)|v...
Text Solution
|
If vec a\ dot\ vec a=0 and vec a\ dot\ vec b=0, then what can be c...
Text Solution
|
If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b...
Text Solution
|
If either vec a= vec0\ or\ vec b= vec0\ t h e n\ vec adot vec b= ve...
Text Solution
|
If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0) ,(0,1,2) ...
Text Solution
|
Show that the points A(1, 2, 7), B(2, 6, 3) and C(3, 10 , 1)are colli...
Text Solution
|
Show that the points, A, B and C having position vectors (2hat(i)-hat(...
Text Solution
|
If vec a is a non zero vector a magnitude ' a^(prime)\ a n d\ lambda ...
Text Solution
|