If veca=4hati+6hatj and vecb=3hatj+4hatk...

If `veca=4hati+6hatj and vecb=3hatj+4hatk` find the vector component of `veca alond vecb`.

Text Solution

Verified by Experts

The components of vector `veca long vecb` is `((veca.vecb)vecb)/(|vecb|^(2))=18/25(3hati+4hatk)`

Topper's Solved these Questions

DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE|Exercise Exercise|337 Videos
DETERMINANTS
CENGAGE|Exercise All Questions|268 Videos
DIFFERENTIAL EQUATIONS
CENGAGE|Exercise Question Bank|7 Videos

Similar Questions

Explore conceptually related problems

If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.vecc = 2 and veca xx vecc = vecb

If veca=7hati-4hatj-4hatk and vecb=-2hati-hatj+2hatk , determine vector vecc along the internal bisector of the angle between vectors veca and vecb such that |vecc|= 5sqrt6 .

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

If |veca|=2, |vecb|=7 and vecaxxvecb=3hati-2hatj+6hatk find the angle between veca and vecb .

For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk , find the unit vector in the direction of the vector veca+vecb .

If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) then find the unit vector in the direction of (veca + vecb) .

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by

If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

If veca=-hati+hatj+hatk andvecb=2hati+0hatj+hatk then find vector vecc satisfying the following conditions, (i) that it is coplaner with veca and vecb , (ii) that it is bot "to" vecb and (iii) that veca.vecc=7 .

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

If veca=4hati+6hatj and vecb=3hatj+4hatk find the vector component of ...
Text Solution
|
Find |veca|and|vecb|, if (veca+vecb)*(veca-vecb)=8and|veca|=8|vecb|.
Text Solution
|
Show that |veca|vecb+|vecb|veca is perpendicular to |veca|vecb-|vecb|...
Text Solution
|
If the vertices A,B, C of a triangle ABC are (1,2,3),(-1, 0,0), (0, 1,...
Text Solution
|
If |a|=3,|b|=4a n d the angle between aa n db is 120^0 , then find the...
Text Solution
|
If vectors hati-2xhatj-3yhatk and hati+ 3 x hatj + 2yhatk are orthogon...
Text Solution
|
Let veca vecb and vecc be pairwise mutually perpendicular vectors, suc...
Text Solution
|
If veca+vecb+vecc =0, |veca|=3, |vecb|=5, |vecc|=7 then the angle betw...
Text Solution
|
If the angle between unit vectors veca and vecb is 60^(@) . Then find ...
Text Solution
|
Let vecu=hai+hatj,vecv=hati-hatj and vecw=hati+2hatj+3hatk. If hatn is...
Text Solution
|
A , B , C , D are any four points, prove that vec A B dot vec C D+ ...
Text Solution
|
P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection...
Text Solution
|
If the vectors 3 vec p+ vec q ;5p-3 vec qa n d2 vec p+ vec q ;3 vec p-...
Text Solution
|
Let vecA and vecB be two non-parallel unit vectors in a plane. If (alp...
Text Solution
|
If veca ,vecb, vec c are three vectors such that veca + 2 vecb + vecc ...
Text Solution
|
If veca and vecb are unit vectors, then find the greatest value of |ve...
Text Solution
|
Constant forces P1= hat i+ hat j+ hat k ,P2= hat i+2 hat j- hat ka n d...
Text Solution
|
Find |veca|and|vecb|, if (veca+vecb)*(veca-vecb)=8and|veca|=8|vecb|.
Text Solution
|
If A ,B ,C ,D are four distinct point in space such that A B is not...
Text Solution
|
If veca=2hati+ 3hatj-5hatk,vecb =m hati+nhatj +12 hatk and veca xx vec...
Text Solution
|
If |veca|=2, |vecb|=5 and |vecaxxvecb|=8 then find the value of veca.v...
Text Solution
|