figure on the left here. As this vector is a diagonal of the parallelogram in the figure, it is
obvious that it is also equivalent to b
+ a
. Therefore, we know that the following is true:
Commutative law : a
+ b
= b
+ a
The order in which you add vectors doesn’t matter! You can find the sum of three or
more vectors in the same way.
Negative Vectors
Vector −a
, or a
preceded by a minus sign, yields a sum of zero when added to vector a
. In
an equation, the relationship looks like this:
a
+ (−a
) = 0
In terms of geometry, −a
is simply a vector of the same magnitude as a
, but in the
exact ...
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