Two unit vectors $\mathbf{a}$ and $\mathbf{b}$ are such that the angle between $\mathbf{a}$ an

Question

Two unit vectors $\mathbf{a}$ and $\mathbf{b}$ are such that the angle between $\mathbf{a}$ and $\mathbf{b}$ is $60^\circ$. Given that $\mathbf{x}=2\mathbf{a}-\mathbf{b}$, $\mathbf{y}=-\mathbf{a}+3\mathbf{b}$ and $\mathbf{z}=3\mathbf{a}+\mathbf{b}$. Show that $\mathbf{x}$ is perpendicular to $\mathbf{z}+3\mathbf{y}$. Find the magnitude of $\mathbf{x}+2\mathbf{y}+2\mathbf{z}$.

Accepted Answer

(ii) $|\mathbf{x} + 2\mathbf{y} + 2\mathbf{z}| = \sqrt{127}$

Vectors - Magnitude of a Vector

Vectors - Magnitude of a Vector

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