Given `vec(P)=3hat(i)-4hat(j)`. Which of the following is perpendicular to `vec(P)`?

If vec(a) = 2hat(i) + 2hat(j) + 3hat(k), vec(b) = -hat(i) + 2hat(j) + hat(k) and vec(c )=3hat(i)+2hat(j) such that vec(a)+lambda vec(b) is perpendicular to vec(c) , then find the value of lambda .

Let vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k) and vec(c)=2hat(i)-hat(j)+4hat(k) . Find a vector vec(p) which is perpendicular to both vec(a) and vec(b) and vec(p). vec(c)=18 .

Let vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k) and vec(c)=2hat(i)-hat(j)+4hat(k) . Find a vector vec(p) which is perpendicular to both vec(a) and vec(b) and vec(p). vec(c)=18 .

(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)-3hat(k) and vec(b)=3hat(i)-hat(j)+2hat(k) , then show that (vec(a)+vec(b)) is perpendicular to (vec(a)-vec(b)) .

Given vec(A)=4hat(i)+6hat(j) and vec(B)=2hat(i)+3hat(j) . Which of the following

Given vec(A)=4hat(i)+6hat(j) and vec(B)=2hat(i)+3hat(j) . Which of the following