[" 78.Let "vec PR=3hat i+hat j-2hat k" and "vec SQ=hat i-3hat j-4hat k" determine diagonals of parallelogram "PQRS" and "],[vec PT=hat i+2hat j+3hat k" be another vector.Then the volume of the parallelepiped determined by "],[" the vectors "vec PT,vec PQ" and "vec PS" is "]

Let vec (PR)=3hat i+hat j-2hat k and vec (SQ)=hat i-3hat j-4hat k determine diagonals of parallelogram PQRS and vec (PT)=hat i+2hat j+3hat k be another vector.Then the volume of the parallelepiped determined by the vectors vec( PT) , vec (PQ) and vec( PS) is 1) 5 ,2) 10 , 3) 15 4) 20

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

If vec a=hat i+2hat j-3hat k and vec b=2hat i+4hat j+9hat k find a unit vector parallel to vec a+vec b

If vec a=3hat i-2hat j+hat k and vec b=-hat i+hat j+hat k then the unit vector parallel to vec a+vec b, is

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are orthogonal.

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec a=5hat i-hat j-3hat k, and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

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

If vec a=2hat i+hat j+hat k,vec b=3hat i-4hat j+2hat k and vec c=hat i-2hat j+2hat k then the projection of vec a+vec b is