The resultant of the two vectors is 5 units (see attachment)
Explanation:
When we have to calculate the resultant of two vectors, we can do the following:
- Graphically, we have to draw the two vectors, connected head-to-tail (this means, the tail of the second vector starts from the head of the first vector). The resultant vector is found by connecting the tail of the first vector to the head of the second vector. In this example, we called A the first vector of 3 units and B the second vector of 4 units: the rresultant vector is shown in the picture as vector R.
- Numerically, we start by noticing that the two vectors are at 90 degrees to each other. Therefore, they form the sides of a right triangle, of which the resultant is the hypothenuse.
Therefore, we can find the resultant by using Pythagorean's theorem. Using
A = 3
B = 4
We find:
[tex]R=\sqrt{A^2+B^2}=\sqrt{3^2+4^2}=5[/tex]
So, the resultant is 5 units.
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