If the scalar projection of a non-zero vector on another non-zero vector equals zero

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

Problem

If the scalar projection of a non-zero vector

\vec{u}

on another non-zero vector

\vec{v}

equals zero, which of the following statements is necessarily true? (a)

\vec{u} \text{ is parallel to } \vec{v}

(b)

\vec{u} \text{ is the zero vector}

(c)

\vec{u} \text{ is perpendicular to } \vec{v}

(d)

|\vec{u}| = |\vec{v}|