Is it possible the sum and difference of.two vector are equal inmagnitufe?
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Yes, the vector resultant of two vectors that is either the sum or difference of two vectors can be equal in magnitude, however in a special case when both the vectors will make a 90° with each other that is when they'll be perpendicular to each other.
How can we find this 90°?
This can be don't by applying the formula for finding the magnitude of any vector.
So first suppose
that
|A+B| = |A-B|
√A^2 + B^2 + 2ABcos theta = √ A^2 + B^2 - 2AB cos theta
Therefore,
solving further
4ABcos theta = 0
therefore
cos theta = 0
Therefore,
theta = 90°
Hope this helps you!!
How can we find this 90°?
This can be don't by applying the formula for finding the magnitude of any vector.
So first suppose
that
|A+B| = |A-B|
√A^2 + B^2 + 2ABcos theta = √ A^2 + B^2 - 2AB cos theta
Therefore,
solving further
4ABcos theta = 0
therefore
cos theta = 0
Therefore,
theta = 90°
Hope this helps you!!
Answered by
0
Answer:
The sub and difference of two vectors will not have the same direction, when the two vectors have unequal magnitudes but in the same direction. Because the resultant of of sum of two vectors will be the opposite of the resultant of subtraction of two vectors
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