Evaluate `quad |vec K|`

The position vectors of the points A,B,C , D are respectively 2 vec i + vec j - vec k, vec i + vec j + vec k, vec i- 2 vec j+ 3 vec k and 3 vec i- vec j + 2 vec k . Evaluate [vec (AB), vec (AC), vec (AD)] .

If |vec a|=2, then find the value of |vec a xxhat i|^(2)+|vec a xxhat j|^(2)+|vec a xxhat k|^(2)

find the value of | vec i xx (vec i + vec j + vec k) |

If vec r*hat i=vec r*hat j=vec r*hat k and |vec r|=3, then find the vector vec r .

If vec a=2hat i+2hat j-3hat k,vec b=hat i-2hat j+2hat k,vec c=4hat i+3hat j+3hat k then find the value of |vec a+2vec b+2vec c|

Find the unit vector in the direction of vec a+vec b,quad if quad vec a=2hat i-hat j+2hat k and vec b=-hat i+hat j-hat k

For given vectors,vec a=2hat i-hat j+2hat k and vec b=-hat i+hat j-hat k find the unit vector in the direction of the vector quad vec a+vec b

Find the value of: (vec j xxvec k) * (3vec i + 2vec j-vec k)

vec a=2vec i+3vec j-vec k,vec b=-vec i+2vec j-4vec k and vec c=vec i+vec j+vec k then find thevalue of (vec a xxvec b)*(vec a xxvec c)

If vec a=hat i+hat j,vec b=hat j+hat k,vec c=hat k+hat i find the unit vector in the direction of vec a+vec b+vec c