If `A=4i+5j` and `B=2i+j,` calculate ,`vec A+vec B` and `|vec A+vec B|`

vec A=6i+5j and, vec B=(4i-3j) ,then (vec A+vec B)*(vec A-vec B)=

If vec A=3hat i-4hat j and vec B=-hat i-4hat j, caculate the direction of vec A+vec B

If vec a= hat i+ hat j+ hat k , vec adot vec b=2 and vec ax vec b=2 hat i+ hat j-3 hat k , then vec a+ vec b=5 hat i-4 hat j+2 hat k (b) vec a+ vec b=3 hat i+2 vec k vec b=2 hat i- hat j+ hat k (d) vec b= hat i-2 hat j-3 hat k

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=3 and vec ax vec b= vec c , then vec b is equal to

If vec A = 3hat i + 4hat j + 5hat k and vec b = 5hat i-6hat j + 2hat k find (i) (vec A + vec B) xx (vec A-vec B) (ii) (vec A + case B) * (case A-case B)

if vec b=2 vec i + 3 vec j - vec k and vec c= vec i + 4 vec j + 5 veck then find a vector vec a such that vec b * vec a =0 and vec c * vec a=0 . Also find the unit vector along vec a .

vec a = (hat i + hat j + hat k), vec a * vec b = 1 and vec a xxvec b = hat j-hat k. Then vec b is

The sum and difference of two vectors vec A and vec B are , vec A+vec B=2hat i+6hat j+hat k and vec A-vec B=4hat i+2hat j-11hat k . Find the magnitude of each vector and their scalar product vec A.vec B .

vec a = vec i + 2vec j + 3vec k, vec b = -vec i + 2vec j + vec k, rArr3vec i + vec j and vec d is normal to both vec a and vec b then (vec c, vec d)

Let vec a = 2i + j + k, vec b = i + 2j + k and vec c = 2i-3j + 4k, A vector vec r satisfying vec r xxvec b = vec c xxvec b and vec r * vec a = 0 , is