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Multiplication with Vectors

The area of t...

Question

The area of the triangle whose adjacent sides are represented by the vector $(4 ¯ i + 3 ¯ j + 4 ¯ ¯ ¯ k)$ and $5 ¯ i$ in square units is:

A

25

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B

12.5

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C

50

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D

45

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Solution

The correct option is C $12.5$
Area $= \frac{1}{2} \times | A \times B |$
$A \times B$ $= 15 k - 20 j$
$| A \times B |$ $= 25$
$⟹$ Area $=$ $12.5$

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