SATHEE: Kinematics Question 589

Kinematics Question 589

Question: The condition for $\vec{A} + \vec{B}$ to be perpendicular to $\vec{A} - \vec{B}$ it’s that

Options:

A) $| \vec{A} | = | \vec{B} |$

B) $\vec{A} = \vec{B}$

C) $\vec{B} = 0$

D) $| \vec{A} + \vec{B} | = | \vec{A} - \vec{B} |$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $(\vec{A} + \vec{B}) . \vec{A} - \vec{B} = 0$

or $\vec{A} . \vec{A} + \vec{B} . \vec{A} - \vec{A} . \vec{B} - \vec{B} . \vec{B} = 0$

$∴ A=B .$

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