Published by:
CGP EDU Academic Team
Published on: September 12, 2026
For two vectors 
and 
is always true when
A
B
C
and 
are parallel or anti parallel D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
To determine when the equation \(|\mathbf{A} + \mathbf{B}| = |\mathbf{A} - \mathbf{B}|\) holds true, we can analyze the properties of vectors. We know that for two vectors, if they are parallel or anti-parallel, their magnitudes might relate in such a way that the equation holds true.
- When \(\mathbf{A}\) and \(\mathbf{B}\) are parallel (i.e., point in the same direction), \(\mathbf{A} + \mathbf{B}\) will have a magnitude equal to the sum of their magnitudes, whereas \(\mathbf{A} - \mathbf{B}\) will have a magnitude that depends on their relative magnitudes.
- When \(\mathbf{A}\) and \(\mathbf{B}\) are anti-parallel (i.e., point in opposite directions), the equations simplify appropriately to imply equality of magnitudes as defined in the question.
- In both cases, the condition will generally satisfy the equality.
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