If ` vec aa n d vec b` represent two adjacent sides ` vec A Ba n d vec B C` respectively of a parallelogram `A B C D ,` then show that its diagonals ` vec A Ca n d vec D B` are equal to ` vec a+ vec b` and ` vec a- vec b` respectively.

If vec a\ a n d\ vec b represent two adjacent sides of a parallel then write vectors representing its diagonals.

For any vector vec a\ a n d\ vec b prove that | vec a+ vec b|lt=| vec a|+| vec b|dot

A B C D isa parallelogram with A C\ a n d\ B D as diagonals. Then, vec A C- vec B D= 4 vec A B b. 3 vec A B c. 2 vec A B d. vec A B

If vectors vec aa n d vec b are two adjacent sides of a parallelogram, then the vector respresenting the altitude of the parallelogram which is the perpendicular to a is a. vec b+( vec bxx vec a)/(| vec a|^2) b. ( vec adot vec b)/(| vec b|^2) c. vec b-( vec bdot vec a)/(| vec a|^2) d. ( vec axx( vec bxx vec a))/(| vec b|^2)

Find | vec a|a n d| vec b|,if( vec a - vec b)dot ( vec a+ vec b) =27 and | vec a|=2| vec b|dot

If vec a ,\ vec b ,\ vec c are position vectors of the vertices A ,\ B\ a n d\ C respectively, of a triangle A B C ,\ write the value of vec A B+ vec B C+ vec C Adot

Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=8\ a n d\ | vec a|=8| vec b|

Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=5\ a n d\ vec adot vec b=8

Find | vec a- vec b|,\ if:| vec a|=3,\ | vec b|=4\ a n d\ vec adot vec b=1

Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot vec b=4