Question

true and false questions ( k/u)
question 5 (1 point)
the following diagram shows the resultant vector after adding 8 m e and 6 m n.
true
false

Explanation:

Step1: Analyze the vector directions

The vector \(8\ m [E]\) should be along the positive \(x -\)axis (east - west axis with east as positive \(x\)), and \(6\ m [N]\) should be along the positive \(y -\)axis (north - south axis with north as positive \(y\)).

Step2: Check the diagram

In the given diagram, the \(8\ m\) vector is not along the \(x -\)axis and the \(6\ m\) vector is not along the \(y -\)axis. The correct resultant of two perpendicular vectors \(\vec{A}=a\hat{i}\) (east - west) and \(\vec{B} = b\hat{j}\) (north - south) is \(\vec{R}=\sqrt{a^{2}+b^{2}}\) and is drawn from the tail of \(\vec{A}\) to the head of \(\vec{B}\) when \(\vec{A}\) is along \(x -\)axis and \(\vec{B}\) is along \(y -\)axis.

Answer:

False