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AM,GM,HM Inequality

The area of t...

Question

The area of the triangle whose two sides are given by 4i - j + k and 3i + j - k is

A

7 \sqrt{2}

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B

14 \sqrt{2}

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C

14 / \sqrt{2}

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D

7 / \sqrt{2}

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Solution

The correct option is B $7 / \sqrt{2}$
Area $= \frac{1}{2} ∣ ∣ ∣ - - \to A B \times - - \to A C ∣ ∣ ∣$
$= \frac{1}{2} | (4 i - j + k) \times (3 i + j - k) | = \frac{7}{\sqrt{2}}$

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