Magnitude of sum of two vectors is equal to the magnitude of difference of those two vectors then Angle between them is
Anonymous:
180 degree
right ??
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@vaibhav246
glad help you.
it helps you
thank you
@vaibhav246
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Hi.....
Let the two vectors be A and B (I'm writing w/o the arrow heads)
Then according to question
|A+B| = |A-B|
Squaring both sides
|A+B|² = |A-B|²
A² + B² + 2A.B = A²+ B² -2A.B
(where A.B is the dot product of A and B)
Cancelling A² + B² from both sides we get
4A.B = 0
A.B=0 (4 can't be zero)
ABcosX = 0
(X is angle between A and B)
CosX = 0
X = 90
ie A & B are perpendicular to each other.☺️
Let the two vectors be A and B (I'm writing w/o the arrow heads)
Then according to question
|A+B| = |A-B|
Squaring both sides
|A+B|² = |A-B|²
A² + B² + 2A.B = A²+ B² -2A.B
(where A.B is the dot product of A and B)
Cancelling A² + B² from both sides we get
4A.B = 0
A.B=0 (4 can't be zero)
ABcosX = 0
(X is angle between A and B)
CosX = 0
X = 90
ie A & B are perpendicular to each other.☺️
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