If $$a=2i^$$−$$3j^+k^$$ and $$b=xi^+j^+k^$$ are mutually perpendicular. The value of x $$is________$$

If a and b are perpendicular, a→.b→$$=0$$ or $$2x$$−$$3+1=0$$∴ $$x=1$$

Scalars and Vectors

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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________

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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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