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 ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month, and much more.