A force vector in three-dimensional space has equal x and y components

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

A force vector

\vec{F}

in three-dimensional space has equal x and y components, and its z-component is

30\,\text{N}

upward. If the magnitude of

\vec{F}

50\,\text{N}

, determine the value of its x-component. (a)

35\,\text{N}

(b)

28\,\text{N}

(c)

40\,\text{N}

(d)

14\,\text{N}