If ` vec a\ a n d\ vec b` are unit vectors then write the value of `| vec axx vec b|^2+( vec adot vec b)^2dot`

If vec a , a n d vec b are unit vectors , then find the greatest value of | vec a+ vec b|+| vec a- vec b|dot

If vec a\ a n d\ vec b are vectors of equal magnitude, write the value of ( vec a+ vec b)dot( vec a- vec b)dot

If vec aa n d vec b are two vectors and angle between them is theta, then | vec axx vec b|^2+( vec adot vec b)^2=| vec a|^2| vec b|^2 | vec axx vec b|=( vec adot vec b),iftheta=pi//4 vec axx vec b=( vec adot vec b) hat n ,(w h e r e hat n is unit vector, ) if theta=pi//4 ( vec axx vec b)dot( vec a+ vec b)=0

If vec a\ a n d\ vec b are mutually perpendicular unit vectors, write the value of | vec a+ vec b|dot

If vec a\ a n d\ vec b\ a n d\ vec c are mutually perpendicular unit vectors, write the value of | vec a+ vec b+ vec c|dot

If vec aa n d vec b are two unit vectors incline at angle pi//3 , then { vec axx( vec b+ vec axx vec b)}dot vec b is equal to (-3)/4 b. 1/4 c. 3/4 d. 1/2

If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=3\ a n d\ vec adot vec b=1, find the angle between vec a\ a n d\ vec b .

If two vectors vec a\ a n d\ vec b are such that | vec a|=2,\ | vec b|=1\ a n d\ vec adot vec b=1, then find rthe value of (3 vec a-5 vec b)dot'(2 vec a+7 vec b)'dot

If vec a\ a n d\ vec b are two vectors such that | vec a|=4,\ | vec b|=3\ a n d\ vec adot vec b=6. Find the angle between vec a\ a n d\ vec bdot

If vec a and vec b are two vectors, then prove that ( vec axx vec b)^2=|[vec a.vec a,vec a.vec b],[vec b.vec a,vec b.vec b]| .