Question

find the vector in the direction of displacement of 3 km towards north​

Answer 1

Question:

Find the vector in the direction of displacement of 3km towards north.

Answer:

${\vec{d}} = 35km {\hat{\jmath}}$

Note:

• The East direction can be represented along + ve x-axis.

• The West direction can be represented along – ve x-axis.

• The North direction can be represented along + ve y-axis.

• The South direction can be represented along – ve y-axis.

• The direction vector along + ve x-axis is represented by ${\hat{\imath}}$

• The direction vector along – ve x-axis is represented by $- {\hat{\imath}}$

• The direction vector along + ve y-axis is represented by ${\hat{\jmath}}$

• The direction vector along – ve y-axis is represented by $- {\hat{\jmath}}$

• Vector = Magnitude×Direction

Solution:

Here,

The magnitude of the displacement is 3km.

And the direction of the displacement is North.

The north direction can be represented along + ve y-axis , thus the unit or direction vector in the north direction can be taken as ${\hat{\jmath}}$

Thus,

The required displacement vector is :

${\vec{d}} = 35km {\hat{\jmath}}$