If vectors veca = 2hati + 2hatj +3hatk,v...

If vectors `veca = 2hati + 2hatj +3hatk,vec b=-hati+2hatj+hatk` and `vec c=3 hati+hatj` are such that `veca +lambdavecb` is perpendicular to `vec c`, then find the value of `lambda`.

Text Solution

Verified by Experts

The correct Answer is:

`lambda = 8`

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

If veca = 2hati+2hatj+3hatk, vecb = -hati+2hatj+hatk and vecc = 3hati+hatj such that veca+lambdavecb is perpendicular to vecc then find the value of lambda .

The vectors veca=hati-2hatj+3hatk, vecb=-2hati+3hatj-4hatk and vec c=hati-3hatj+lambdahatk are coplanar if the value of lambda is

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z hati+x hatj+y hatk , then veca xx (vecb xx vec c) is :

If veca = 3hati - hatj - 4hatk , vecb = -2hati + 4hatj - 3hatk and vec c = hati + 2hatj - hatk then |3veca - 2vec b + 4vec c | is equal to

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2hati +hatj - hatk and vec(c) = hati +3hatj - 2hatk then find vec(a) xx (vec(b) xx vec(c)) .

If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2 hati - hatj - hatk and vec(c) = hati +3 hatj - 2hatk find (vec(a) xx vec(b)) xx vec(c)

The three vectors vecA=3hati-=2hatj+khat,vecB=hati-3hatj+5hatk and vec C=2hati+hatj-4hatk form

If veca = 5 hati- 4 hatj + hatk, vecb =- 4 hati + 3 hatj - 2 hatkand vec c = hati - 2 hatj - 2 hatk, then evaluate vec c. (veca xx vecb)

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
|