Let the $x$-axis point east, the $y$-axis point north, and the $z$-axis point upward, and let the unit vectors be in kilometers. What does the vector $2 \vec{i}-6 \vec{j}+0.5 \vec{k}$ represent?
A) A displacement of $2 \mathrm{~km}$ east, followed by a displacement of $6 \mathrm{~km}$ north and a displacement of $0.5 \mathrm{~km}$ up.
B) A displacement of $2 \mathrm{~km}$ west, followed by a displacement of $6 \mathrm{~km}$ north and a displacement of $0.5 \mathrm{~km}$ up.
C) A displacement of $2 \mathrm{~km}$ east, followed by a displacement of $6 \mathrm{~km}$ south and a displacement of $0.5 \mathrm{~km}$ up.
D) A displacement of $2 \mathrm{~km}$ west, followed by a displacement of $6 \mathrm{~km}$ south and a displacement of $0.5 \mathrm{~km}$ up.

Question

Quizplus · Accepted Answer

The vector $2 \vec{i}-6 \vec{j}+0.5 \vec{k}$ represents a displacement of $2 \mathrm{~km}$ east (positive $x$-direction), $6 \mathrm{~km}$ south (negative $y$-direction), and $0.5 \mathrm{~km}$ up (positive $z$-direction).

Let The xxx -Axis Point East, The yyy -Axis Point North, and The

Let The $x$ -Axis Point East, The $y$ -Axis Point North, and The