Find the value of `lambda` for which `vec(a)` and `vec(b)` are perpendicular, where (i) `vec(a)=2hat(i)+lambda hat(j)+hat(k)` and `vec(b)=(hat(i)-2hat
Find the value of `lambda` for which `vec(a)` and `vec(b)` are perpendicular, where
(i) `vec(a)=2hat(i)+lambda hat(j)+hat(k)` and `vec(b)=(hat(i)-2hat(j)+3hat(k))`
(ii) `vec(a)=3hat(i)-hat(j)+4hat(k)` and `vec(b)=- lamnda hat(i)+3 hat(j)+3 hat(k)`
(iii) `vec(A)=2hat(i)+4hat(j)-hat(k)` and `vec(b)=3 hat(i)-2 hat(j)+lambda hat(k)`
(iv) `vec(a)=3 hat(i)+2 hat(j)-5 hat(k)` and `vec(b)=-5 hat(j)+lambda hat(k)`
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Correct Answer - (i) `lambda=5/2` (ii) `lambda=3` (iii) `lambda=-2` (iv) `lambda =-2`
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