If ` vec a` and ` vec b` are non-collinear vectors and ` vec A=(p+4q) vec a+(2p+q+1) vec b a n d vec B=(-2p+q+2) vec a+(2p-3q-1) vec b` ,a n d if`3 vec A=2 vec B` , then determine p and q.

Vectors vec a and vec b are non-collinear. Find for what value of n vectors vec c=(n-2) vec a+ vec b and vec d=(2n+1) vec a- vec b are collinear?

Vectors vec aa n d vec b are non-collinear. Find for what value of x vectors vec c=(x-2) vec a+ vec b and vec d=(2x+1) vec a- vec b are collinear?

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)

If vec a and vec b are two vectors such that | vec a|=2, |vecb|=3 and ( vec a . vec b )=4 then \ f i n d |( vec a - vec b )|

Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=12\ a n d\ | vec a|=2| vec b|

Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)=13\ a n d\ | vec a|=2| vec b|

Let vec a , vec b ,a n d vec c be non-zero vectors and vec V_1= vec axx( vec bxx vec c)a n d vec V_2=( vec axx vec b)xx vec c. Vectors vec V_1a n d vec V_2 are equal. Then (a). vec aa n vec b are orthogonal (b). vec aa n d vec c are collinear (c). vec ba n d vec c are orthogonal (d). vec b=lambda( vec axx vec c)w h e nlambda is a scalar

vec ba n d vec c are non-collinear if vec axx( vec bxx vec c)+( vec adot vec b) vec b=(4-2x-sin y) vec b+(x^2-1) vec c and ( vec c dot vec c) vec a= vec cdot Then a. x=1 b. x=-1 c. y=(4n+1)pi//2, n in I d. y=(2n+1)pi//2, n in I

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 write the value of | vec axx vec b|^2+( vec adot vec b)^2dot