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Calculate the are of the triangle determ...

Calculate the are of the triangle determined by the two vectors `vec(A)=3hat(i)+4hat(j)` and `vec(B)=-3hat(i)+7hat(j).`

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To calculate the area of the triangle determined by the two vectors \(\vec{A} = 3\hat{i} + 4\hat{j}\) and \(\vec{B} = -3\hat{i} + 7\hat{j}\), we will use the formula for the area of a triangle formed by two vectors, which is given by: \[ \text{Area} = \frac{1}{2} |\vec{A} \times \vec{B}| \] ### Step 1: Calculate the cross product \(\vec{A} \times \vec{B}\) ...
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