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If vec(A)=4hat(i)+nhat(j)-2hat(k) and ve...

If `vec(A)=4hat(i)+nhat(j)-2hat(k)` and `vec(B)=2hat(i)+3hat(j)+hat(k)`, then find the value of n so that `vec(A) bot vec(B)`

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Dot product of two mutually perpendicular vectors is zero `vec(A).vec(B)=0`
`:. (4hat(i)+nhat(j)-2hat(k)).(2hat(i)+3hat(j)+hat(k))=0rArr(4xx2)+(nxx3)+(-2xx1)=0rArr3n=-6 rArr n=-2`
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