Question

To get a resultant displacement of 10 m two displacement vectors, one of magnitude 6m and another of 8m should be combined:

• A. parallel
• B. anti-parallel
• C. at an angle 60${}^0$
• D. perpendicular to each other

Answer 1

The correct option is D perpendicular to each other

$100=6^2+8^2+2\times 6\times 8\times cos\left(\theta \right)$

By triangle law:
$\Rightarrow 2\times 6\times 8\times cos\left(\theta \right)=0$
$\Rightarrow \theta ={90}^0$