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Area of a rectangle having vertices A, ...

Area of a rectangle having vertices A, B, C and D with position vectors `- hat i+1/2 hat j+4 hat k , hat i+1/2 hat j+4 hat k , hat i-1/2 hat j+4 hat k` and `- hat i-1/2 hat j+4 hat k` respectively is
(A) 1/2 (B) 1 (C) 2 (D) 4

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To find the area of the rectangle with given vertices A, B, C, and D, we will follow these steps: ### Step 1: Identify the position vectors The position vectors of the vertices are given as follows: - A: \(-\hat{i} + \frac{1}{2}\hat{j} + 4\hat{k}\) - B: \(\hat{i} + \frac{1}{2}\hat{j} + 4\hat{k}\) - C: \(\hat{i} - \frac{1}{2}\hat{j} + 4\hat{k}\) - D: \(-\hat{i} - \frac{1}{2}\hat{j} + 4\hat{k}\) ...
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