Two vectors of magnitude A and B are acting at angle . Find the manitude of the difference of two vectors.
Let two vectors of magnitude A and B be acting at angle
We will find the magnitude of
The vector can be written as .
Thus, is equal to resultant of
As the angle between is , therefore angle between is
Thus,
Let be represented by and the two adjacent sides of parallelogram OPSQ. In the figure is the diagonal of parallelogram.
Since is equal and parallel to
∴
Also is equal and parallel to
∴
Now applying triangle law of vector addition to we get
...(1)
Similarly applying triangle law of vector addition to we get
...(2)
From (1) and (2),
Hence the vector addition follows commutative law.
Explain how a vector can be subtracted from vector
To subtract vector from vector first change the vector into and then add it to vector
Then, we have
This way, the vectors can be subtracted.