SATHEE: Kinematics Question 303

Kinematics Question 303

Question: If $| \vec{A} \times \vec{B} | = \sqrt{3} \vec{A} . \vec{B},$ then the value of $| \vec{A} + \vec{B} |$ it’s [CBSE PMT 2004]

Options:

A) $\vec{A}$ and $\vec{B}$ are perpendicular to each other

B) $\vec{A}$ and $\vec{B}$ act in the same direction

C) $\vec{A}$ and $\vec{B}$ act in the opposite direction

D) $\vec{A}$ and $\vec{B}$ can act in any direction

Show Answer

Answer:

Correct Answer: C

Solution:

$\vec{A} . \vec{B} = A B \cos θ$ In the problem $\vec{A} . \vec{B} = - A B$ i.e. $\cos θ = - 1$ \ $θ = 180^{\circ}$ i.e. $\vec{A}$ and $\vec{B}$ acts in the opposite direction.

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Kinematics Question 303

Question: If |A→×B→|=3A→.B→, then the value of |A→+B→| it’s [CBSE PMT 2004]

Options:

Answer:

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Question: If $| \vec{A} \times \vec{B} | = \sqrt{3} \vec{A} . \vec{B},$ then the value of $| \vec{A} + \vec{B} |$ it’s [CBSE PMT 2004]