Question

Find the area of triangle formed by vector A =3i - 4j +2k and vector B = i + j - 2k as adjacent sides measured in metre

Answer 1

Given: Vectors  : A =3i - 4j +2k and vector B = i + j - 2k as adjacent sides measured in metre

Area Of Triangle = 1/2 (A X B)
⇒ 1/2{$\left[\begin{array}{ccc}i&j&k\\3&-4&2\\1&1&-2\end{array}\right]$}
 = 1/2 (6i + 8j + 8k)
Magnitude = 1/2 ( √(6² + 8² + 8²) ) =√(164) / 2 ~ 6.403 Sq. units
∴ The Are of Traingle Formed ~ 6.403 Sq. units

Answer 2

Explanation:

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