Let vec a and vec b be unit vectors suc...

Let ` vec a and vec b` be unit vectors such that `| vec a+ vec b|=sqrt(3)` . Then find the value of `(2 vec a+5 vec b).((3 vec a+ vec b+ vec axx vec b))dot`

Text Solution

AI Generated Solution

Topper's Solved these Questions

TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS
CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS
CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

If vec a and vec b are two non-collinear unit vectors such that | vec a+ vec b|=sqrt(3), find (2 vec a-5 vec b). (3 vec a+ vec b) .

If vec aa n d vec b are two vectors such that | vec axx vec b|=2, then find the value of [ vec a vec b vec axx vec b]dot

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

If vec a\ a n d\ vec b are two non collinear unit vectors such that | vec a+ vec b|=sqrt(3),\ find \ (2 vec a-5 vec b). (3 vec a+ vec b)

vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c=0. then find the value of vec a. vec b+ vec b.vec c+ vec c. vec a

If [ vec a vec b vec c]=2, then find the value of [( vec a+2 vec b- vec c)( vec a- vec b)( vec a- vec b- vec c)]dot

If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ vec c= vec0, then write the value of vec a . vec b+ vec b . vec c+ vec c . vec a

If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b+ vec c= vec0 find the value of vec adot vec b+ vec bdot vec c+ vec cdot vec adot'

If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a- vec b|dot

If | vec a|=2| vec b|=5 and | vec axx vec b|=8, then find the value of vec a . vec bdot

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions

In triangle A B C ,points D , Ea n dF are taken on the sides B C ,C Aa...
Text Solution
|
Let A ,B ,C be points with position vectors 2 hat i- hat j+ hat k , ...
Text Solution
|
Let vec a and vec b be unit vectors such that | vec a+ vec b|=sqrt(3)...
Text Solution
|
If u and v are two non-collinear unit vectors such that |vecu...
Text Solution
|
A rigid body is spinning about a fixed point (3,-2,-1) with an angu...
Text Solution
|
vec rxx vec a= vec bxx vec a ; vec rxx vec b= vec axx vec b ; vec a!= ...
Text Solution
|
If | vec a|=2, then find the value of | vec axx hat i|^2+| vec axx hat...
Text Solution
|
If veca , vecb , vecc are position vectors of the vertices A, ...
Text Solution
|
A , B , Ca n dD are any four points in the space, then prove that |...
Text Solution
|
Find the area of the parallelogram whose adjacent sides are determin...
Text Solution
|
Using vectors, find the area of the triangle with vertices A (1, 1,...
Text Solution
|
Let vec a , vec ba n d vec c be three verctors such that vec a!=0...
Text Solution
|
Find the area a parallelogram whose diagonals are vec a=3 hat i+ ha...
Text Solution
|
If vec a and vec b are unit vectors such that ( vec a+ vec b).[(2 ve...
Text Solution
|
If vec aa n d vec b are any two unit vectors, then find the greate...
Text Solution
|
If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...
Text Solution
|
Let vec u be a vector on rectangular coordinate system with slopin...
Text Solution
|
Two adjacent sides of a parallelogram A B C D are given by vec A B...
Text Solution
|
Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equall...
Text Solution
|
Volume of parallelepiped formed by vectors vec axx vec b , vec bxx...
Text Solution
|