Let ` vec a ,\ vec b ,\ vec c` be three vectors of magnitudes 3, 4 and 5 respectively. If each one is perpendicular to the sum of the other two vectors, prove that `| vec a+ vec b+ vec c|=5sqrt(2)` .

Let vec a,vec b and vec c be three vectors such that |vec a|=3,|vec b|=4,|vec c|=5 and each one of them being perpendicular to the sum of the other two,find |vec a+vec b+vec c|

If vec a,vec b,vec c are three mutually perpendicular unit vectors,then prove that |vec a+vec b+vec c|=sqrt(3)

Let vec a,vec b and vec c are vectors of magnitude 3,4,5 respectively.If vec a is perpendicular to vec b+vec c,vec b is perpendicular to vec c+vec a and vec c is perpendicular to vec a+vec b then find the magnitude of vec a+vec b+vec c

Let vec a,vec b,vec c be three non-zero vectors such that vec c is a unit vector perpendicular to both vec a and vec b. If the between vec a and vec b is pi/6 prove that [vec avec bvec c]^(2)=(1)/(4)|vec a|^(2)|vec b|^(2)

Let vec a, vec b, vec c be three vectors from vec a xx (vec b xxvec c) = (vec a xxvec b) xxvec c, if

Let vec a,vec b,vec c be vectors with lengths 3,4,5 respectively.Let vec a be perpendicular to vec b+vec c,vec b be perpendicular to vec c+vec a and vec c be perpendicular to vec a+vec b Tehn find the value of |vec a+vec b+vec c|

Let vec(a), vec(b), vec(c) be vectors of length 3, 4, 5 respectively. Let vec(a) be perpendicular to vec(b)+vec(c), vec(b) to vec(c)+vec(a) and vec(c) to vec(a)+vec(b) . Then |vec(a)+vec(b)+vec(c)| is :

Let vec a,vec b and vec c be three vectors having magnitudes 1,5 and 3, respectively,such that the angel between vec a and vec b is theta and vec a xx(vec a xxvec b)=c. Then tan theta is equal to a 0 b.2/3 c.3/5 d.3/4

If vec a,vec b, and vec c are mutually perpendicular vectors of equal magnitudes,then find the angle between vectors vec a and vec a+vec b+vec c