when the angle between vectors is 45 degree then their resultant will be
Question
when the angle between vectors is 45 degree then their resultant will be
Solution
The resultant of two vectors can be found using the formula:
R = sqrt[(A^2) + (B^2) + 2ABcosθ]
where:
- R is the resultant vector,
- A and B are the magnitudes of the two vectors,
- θ is the angle between the two vectors.
Given that the angle between the vectors is 45 degrees, the cosine of 45 degrees is √2/2 or 0.7071.
So, the formula becomes:
R = sqrt[(A^2) + (B^2) + 2AB(0.7071)]
This is the formula to calculate the resultant of two vectors when the angle between them is 45 degrees.
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