If `vec a=hat(i)+3hat(j)-5hat(k)` and `vec b=5hat(i)-hat(j)-3hat(k)` then find `(vec a+vec b)` , `(vec a-vec b)`

If vec(a)=hat(i)-2hat(j)+5hat(k) and vec(b)=2hat(i)+hat(j)-3hat(k) then what is (vec(b)-vec(a)). (3vec(a)+vec(b)) equal to ?

If vec(a)=3hat(i)-2hat(j)+hat(k), vec(b)=2hat(i)-4 hat(j)-3 hat(k) , find |vec(a)-2 vec(b)| .

If vec(A)=-2hat(i)+3hat(j)-4hat(k)and vec(B)=3hat(i)-4hat(j)+5hat(k) then vec(A)xxvec(B) is

If vec(a)=2hat(i)-3hat(j)-hat(k), vec(b)=hat(i)+4hat(j)-2hat(k) , then what is (vec(a)+vec(b))xx(vec(a)-vec(b)) equal to ?

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.

(i) If vec(a)=hat(i)+2hat(j)-3hat(k) and vec(b)=3hat(i)-hat(j)+2hat(k) , show that (vec(a)+vec(b)) is perpendicular to (vec(A)-vec(b)) . (ii) If vec(a)=(5hat(i)-hat(j)-3 hat(k)) and vec(b)=(hat(i)+3hat(j)-5hat(k)) then show that (vec(a)+vec(b)) and (vec(a)-vec(b)) are orthogonal.

If vec(a)= hat(i) - 2hat(j) + 5hat(k) and vec(b) = 2hat(i) + hat(j) -3hat(k) , then (vec(b) - vec(a)).(3 vec(a) +vec(b)) equal to?

If vec(a)= hat(i) - 2hat(j) + 5hat(k), vec(b)= 2hat(i) +hat(j)- 3hat(k) then what is (vec(a)- vec(b)).(3 vec(a) +vec(b)) equal to ?

If vec(a)=(hat(i)+2hat(j)-3hat(k)) and vec(b)=(3hat(i)-hat(j)+2hat(k)) then the angle between (vec(a)+vec(b)) and (vec(a)-vec(b)) is

If vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2hat(i)+4hat(j)+5hat(k) and vec(c )=hat(i)-6hat(j)-7hat(k) , then find the value of |vec(a)+vec(b)+vec(c )| .