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NDA Math Vector Algebra

For the next two (02) items that follow:

Consider the vectors

\vec{a} = \hat{i} - \hat{2j} + \hat{k}

and

\vec{b} = \hat{4i} - \hat{4j} + \hat{7k}

[NDA I 2014]

Question : 99 of 101

Marks: +1, -0

Solution:

\vec{a} \times \vec{b}

will be perpendicular to both given vectors.

\vec{a} \times \vec{b} = \begin{vmatrix} i & j & k \\ 1 & -2 & 1 \\ 4 & -4 & 7 \end{vmatrix}

= -\widehat{10i}-\widehat{3j}+\widehat{4k}

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