Mathematics

Problem

For

\mathbf{v}=x\mathbf{i}+2\mathbf{j}+3\mathbf{k}

, the scalar projection of

\mathbf{v}

\mathbf{w}=3\mathbf{i}-\mathbf{j}+2\mathbf{k}

4

. Find the value of

x

. a)

\dfrac{4\sqrt{14}+4}{3}

\dfrac{4\sqrt{14}-4}{3}

\dfrac{4\sqrt{14}-8}{3}

\dfrac{4\sqrt{14}-4}{6}