[" If "vec a" is a unit vector and projection of "vec x" along "vec a" is "2" and "vec a timesvec r+vec b=vec r" ,then "vec r" is equal to "],[[" 1) "(1)/(2)[vec a-vec b+vec a timesvec b]," 2) "(1)/(2)[2vec a+vec b+vec a timesvec b]],[" 3) "vec a+vec a timesvec b," 4) "vec a-vec a times b]]

if vec a is a unit vector and projection of vec x along vec a is 2 units and (vec a xxvec x)+vec b=vec x then vec x is given by

If vec a is a unit vector, vec a xxvec r = vec b, vec a * vec r = c, vec a * vec b = 0 then vec r is equal to

If vec a is a unit vector, vec a xxvec r = vec b, vec a * vec r = c, vec a * vec b = 0, then vec r is equal to

If vec a and vec b are not perpendicular to each other and vec r xx vec a = vec b xx vec a, vec r. vec c = vec 0 then vec r =

Let vec a and vec b be two vectors such that |vec b|=1 and |vec b timesvec a|=2 .Then |(vec b timesvec a)-vec b|^(2) is equal to

7.Let vec a,vec b and vec c be three unit vectors such that vec a+vec b+vec c=vec 0 .If lambda=vec a*vec b+vec b*vec c+vec c*vec a , vec d=vec a timesvec b+vec b timesvec c+vec c timesvec a ,then the ordered pair (lambda,vec d) is equal to , 1) (-(3)/(2),3vec c timesvec b) 2) ((3)/(2),3vec a timesvec c) 3) (-(3)/(2),3vec a timesvec b) 4) ((3)/(2),3vec b timesvec c)

If vec a+vec b+vec c=vec 0 ,then (1) vec a timesvec b=vec b timesvec c=vec c timesvec a (2) vec a timesvec b=vec c (3) vec a.vec b=vec b.vec c=bar(c).bar a

If vec a and vec b are unit vectors such that |vec a xx vec b| = vec a . vec b , then |vec a + vec b|^(2) =

If vec a and vec b are orthogonal unit vectors, then for a vector vec r noncoplanar with vec a and vec b , vector rxxa is equal to a. [ vec r vec a vec b] vec b-( vec r. vec b)( vec bxx vec a) b. [ vec r vec a vec b]( vec a+ vec b) c. [ vec r vec a vec b] vec a-( vec r. vec a) vec axx vec b d. none of these

If vec a and vec b are orthogonal unit vectors, then for a vector vec r noncoplanar with vec a and vec b , vector rxxa is equal to a. [ vec r vec a vec b] vec b-( vec r. vec b)( vec bxx vec a) b. [ vec r vec a vec b]( vec a+ vec b) c. [ vec r vec a vec b] vec a-( vec r. vec a) vec axx vec b d. none of these