If vec(a)=2hat(i)+2hat(j)+p hat(k) and vec(b)=2hat(i)-hat(j)+hat(k) are perpendicular to each other, then the value of p.. .

Find 'lambda' when the vectors : vec(a)=2hat(i)+lambda hat(j)+hat(k) and vec(b)=hat(i)-2hat(j)+3hat(k) are perpendicular to each other.

If vectors vec(a) = 3 hat(i) + hat(j) - 2 hat(k) and vec(b) = hat(i) + lambda(j) - 3 hat (k) are perpendicular to each other , find the value of lambda .

The value of lambda for which the two vectors vec(a) = 5hat(i) + lambda hat(j) + hat(k) and vec(b) = hat(i) - 2hat(j) + hat(k) are perpendicular to each other is :

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

Two vector vec(P) = 2hat(i) + bhat(j) + 2hat(k) and vec(Q) = hat(i) + hat(j) + hat(k) are perpendicular. The value of b will be :

If the vectors vec A=hat i+hat j+3hat k and vec B=xhat i-2hat j-hat k are perpendicular to each other then the positive value of x 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

The vectors vec P = a hat I + a hat j + 3 hat k) and vec Q = a hat I - 2 hat j - hat kl are peroendicular to each other. The positve value of (a) is.

Find the value of lambda so that the vectors vec a=2hat i+lambdahat j+hat k and vec b=hat i-2hat j+3hat k are perpendicular to each other.

(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.