A helicopter starting from the origin reaches the point in km with respect to a…

MATHEMATICS · Multi-part · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A helicopter starting from the origin reaches the point

P(8,-15,10)

in km with respect to a Cartesian coordinate system in which the

x

–axis points due east, the

y

–axis points due north, and the

z

–axis points vertically upward. (a) Find the magnitude of the displacement

\overrightarrow{OP}

. (b) Calculate, to the nearest degree, the angle that

\overrightarrow{OP}

makes with the negative

y

–axis. (c) The projection of

\overrightarrow{OP}

on the horizontal

xy

–plane is denoted by

\mathbf{u}

. Determine the bearing of

\mathbf{u}

measured clockwise from due east.