\( a = 3 i + j -..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> \( a = 3 i + j -..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> \( a = 3 i + j -..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />

Question 32

Mathematics Scalar and Vector Products Hard

The area of the parallelogram whose diagonals are&nbsp;<span class="math-tex">\(\rm \vec{a}= 3\hat{i} + \hat{j} - 2\hat{k}\)</span>&nbsp;and&nbsp;<span class="math-tex">\(\rm \vec{b}=\hat{i}-3\hat{j}+4\hat{k}\)</span>&nbsp;is:

(A) <span class="math-tex">\(10\sqrt{3}\)</span>
(B) <span class="math-tex">\(5\sqrt{3}\)</span>
(C) <span class="math-tex">\(10\sqrt{2}\)</span>
(D) <span class="math-tex">\(5\sqrt{2}\)</span>
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Correct Option is B. Practice regular variations of this Scalar and Vector Products concept to build speed and accuracy.

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