Question

If p vector is unit vector and (X vector - p vector).(X vector + p vector) = 80
Then find |x vector|.

Answer 1

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Answer 2

Hello!

$\sf (\vec{x}-\vec{p})(\vec{x}+\vec{p}) = 80 \\ \\ \implies \sf l\vec{x}l^{2} - l\vec{p}l^{2} = 80 \\ \\ \implies \sf l\vec{x}l^{2} - 1 = 80 \\ \\ \implies \sf l\vec{x}l^{2} = 81 \\ \\ \implies \sf l\vec{x}l = \sqrt{81} \implies \boxed{\red{\bf{l\vec{x}l = 9}}}$

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