First slide

Scalars and Vectors

Question

In the following options you are given the magnitudes of three forces (in Newton) acting simultaneously on a body. Find the set for which the resultant force on the body can
be zero.

Easy

A

10, 8, 2
B

15, 30, 14
C

40, 19, 17
D

10, 20, 35

Solution

$\vec{A} + \vec{B} = \vec{C}$
$\Rightarrow |A - B| ⩽ C ⩽ |A + B|$
Option (a) satisfies above condition.
In each of the options (b), (c) and (d), there is one force which is greater than sum of other two forces, hence resultant force cannot be zero for these.

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