First slide

Scalars and Vectors

Question

If $a = 2 \hat{i} - 3 \hat{j} + \hat{k} and b = x \hat{i} + \hat{j} + \hat{k}$ are mutually perpendicular. The value of x is________

Moderate

Solution

If a and b are perpendicular, $\vec{a} . \vec{b} = 0$
$\begin{array}{l} or 2 x - 3 + 1 = 0 \\ ∴ x = 1 \end{array}$

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