Question

The magnitudes of two vectors vector A and vector B are A = 6 units and B = 1 units. What is the smallest possible magnitude of the sum, vector A + vector B?

Answer 1

Answer:5 units

Explanation:

Given

magnitude of vector A $|\vec{A}|=6 units$

magnitude of vector B $|\vec{B}|=1 unit$

Smallest value of vector addition can be obtained when they are at angle of $180^{\circ}$

i.e.  $\vec{A}+\vec{B}=\vec{R}$

where R is resultant vector

$|\vec{R}|=6-1=5\ units$

when two vectors are $180^{\circ}$ apart then they Produce minimum magnitude vector