First slide

Vectors

Question

When $\vec{A} . \vec{B} = - | A | | B |$ , then

Moderate

A

$\vec{A}$ and $\vec{B}$
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

Solution

$\vec{A} . \vec{B}$ = AB cos $θ$
In the problem $\vec{A} . \vec{B} = - AB i . e ., cosθ = - 1$
i.e., $θ = 180^{0}$
i.e., $\vec{A} and \vec{B}$ acts in the opposite direction.

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