A particle starts from the point and moves to the point

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A particle starts from the point

P(6,-2,0)

and moves to the point

Q(-1,4,7)

. It then moves to a point

R

such that the vector

\overrightarrow{QR}

equals twice the vector

\overrightarrow{PQ}

. (i) Find the displacement vector of the particle for the motion from

P

Q

. (ii) Determine the coordinates of the point

R

. (iii) Calculate the magnitude of the direct displacement vector

\overrightarrow{PR}