If a+b=c and a vector+b vecto=c vector then what will be tha angle bet...
Angle between vectors a and b
The angle between two vectors a and b can be determined using the dot product formula:
Dot product formula
The dot product of two vectors a and b is given by the equation a · b = |a| * |b| * cos(θ), where |a| and |b| are the magnitudes of vectors a and b, and θ is the angle between them.
Relation between a, b, and c vectors
Given that a + b = c, we can rewrite this equation as |a| * |b| * cos(θ) = |c|. This implies that the magnitudes of vectors a, b, and c are related by the cosine of the angle between vectors a and b.
Finding the angle
To find the angle between vectors a and b, we first calculate the dot product of a and b. Then, we use the dot product formula to solve for the angle θ. By taking the arccosine of the result, we can determine the angle between vectors a and b.
Conclusion
In conclusion, the angle between vectors a and b can be calculated using the dot product formula, given the relationship a + b = c. By understanding this relationship and applying the dot product formula, we can determine the angle between vectors a and b accurately.
If a+b=c and a vector+b vecto=c vector then what will be tha angle bet...
Given: a+b=c
=> a^2 +b^2 + 2ab= c^2
Let angle between a and b be theta
vector a + vector b =vector c
=>a^2 + b^2 + 2abcos theta=c^2
=>a^2 +b^2+2abcos theta=(a+b)^2
=>2ab cos theta=2ab
=>cos theta = 1
=> theta = 0
the angle between a and b is 0
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