Question

The vector has a magnitude of 10. The x- and y-components of is positive and equal and its z-component is 4. Determine x and y component of vector .

Answer 1

\[|\vec{u}| = 10\]
\[\implies \sqrt{u_x^2 + u_y^2 + u_z^2}=10\]\[\implies u_x^2 + u_y^2 + u_z^2 = 100\]
\[u_z = 4\]\[u_x = u_y\]

Solve for \(u_x\) and \(u_y\) (since they're the same)