Vectors drawn the origin `O` to the points `A , Ba n d C` are respectively ` vec a , vec ba n d vec4a- vec3bdot` find ` vec A Ca n d vec B Cdot`

Vectors drawn the origin O to the points A , B and C are respectively vec a , vec b and vec4a- vec3bdot find vec A C and vec B Cdot

If | vec a|=10 ,\ | vec b|=2\ a n d\ | vec axx vec b|=16 find vec adot vec bdot

A B C D is a parallelogram. If La n dM are the mid-points of B Ca n dD C respectively, then express vec A La n d vec A M in terms of vec A Ba n d vec A D . Also, prove that vec A L+ vec A M=3/2 vec A Cdot

For any two vectors vec a\ a n d\ vec b , fin d\ ( vec axx vec b). vecbdot

Prove that the points A ,Ba n d C with position vectors vec a , vec ba n d vec c respectively are collinear if and only if vec axx vec b+ vec bxx vec c+ vec cxx vec a= vec0dot

If vec a ,\ vec b ,\ vec c are position vectors o the point A ,\ B ,\ a n d\ C respectively, write the value of vec A B+ vec B C+ vec A Cdot

If | vec a|=sqrt(26),\ | vec b|=7\ a n d\ | vec axx vec b|=35 ,find vec adot vec bdot

If two vectors vec aa n d vec b are such that |veca|=3, |vecb|=2 and veca.vecb=6, . , Find | vec a+ vec b|a n d| vec a- vec b|dot

The position vectors of the vertices A ,Ba n dC of a triangle are three unit vectors vec a , vec b ,a n d vec c , respectively. A vector vec d is such that vecd dot vec a= vecd dot vec b= vec d dot vec ca n d vec d=lambda( vec b+ vec c)dot Then triangle A B C is a. acute angled b. obtuse angled c. right angled d. none of these

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|