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vec(A)=2hat(i)+4hat(j)+4hat(k) and vec(B...

`vec(A)=2hat(i)+4hat(j)+4hat(k)` and `vec(B)=4hat(i)+2hat(j)-4hat(k)` are two vectors. Find the angles between them.

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To find the angle between the vectors \(\vec{A} = 2\hat{i} + 4\hat{j} + 4\hat{k}\) and \(\vec{B} = 4\hat{i} + 2\hat{j} - 4\hat{k}\), we will use the formula for the dot product of two vectors: \[ \vec{A} \cdot \vec{B} = |\vec{A}| |\vec{B}| \cos(\theta) \] where \(\theta\) is the angle between the vectors. ...
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