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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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To find the value of \( n \) such that the vectors \( \vec{A} \) and \( \vec{B} \) are perpendicular, we will use the property that two vectors are perpendicular if their dot product is zero. ### Step-by-step Solution: 1. **Define the vectors**: \[ \vec{A} = 4\hat{i} + n\hat{j} - 2\hat{k} \] ...
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