Consider east as positive x-axis, north as positive y-axis and vertically upward direction as z-axis. A helicopter first rises up to an altitude of 100 m than flies straight in north 500 m and then suddenly takes a turn towards east and travels 1000 m east. What is position vector of helicopter?(Take starting point as origin)

• A

  $1000\widehat{\mathrm{i}}-500\widehat{\mathrm{j}}+100\widehat{\mathrm{k}}$

• B

  $1000\widehat{\mathrm{i}}+500\widehat{\mathrm{j}}-100\widehat{\mathrm{k}}$

• C

  $1000\widehat{\mathrm{i}}+500\widehat{\mathrm{j}}+100\widehat{\mathrm{k}}$

• D

  $-1000\widehat{\mathrm{i}}+500\widehat{\mathrm{j}}+100\widehat{\mathrm{k}}$