If `vec(A)` and `vec(B)` are perpendicular Vectors and vector `vec(A)= 5hat(i)+7hat(j)-3hat(k)` and `vec(B)= 2hat(i)+2hat(j)-ahat(k)`. The value of `a` is

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

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

The number of unit vectors perpendicular to the vector vec(a) = 2 hat(i) + hat(j) + 2 hat(k) and vec(b) = hat(j) + hat(k) is

Write a unit vector in the direction of the sum of vectors vec(a) = 2hat(i) + 2hat(j) - 5hat(k) and vec(b) = 2hat(i) + hat(j) - 7hat(k) .

(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)=2hat(i)-5hat(j)+3hat(k) " and " vec(b)=hat(i)-2hat(j)-4hat(k) , find the value of abs(3vec(a)+2vec(b)).

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is

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