Question

If $\overrightarrow{A}$ is parallel to$\overrightarrow{B}$ then choose incorrect option $\left(\lambda \text{is positve constant}\right)$

• A. $\overrightarrow{A}=\lambda \cdot \overrightarrow{B}$
• B. $\overrightarrow{A}=-\lambda \cdot \overrightarrow{B}$
• C. $\overrightarrow{A}\times \overrightarrow{B}=\text{0}$
• D. $\overrightarrow{A}\cdot \overrightarrow{B}=|\overrightarrow{A}||\overrightarrow{B}|$

Answer 1

The correct option is B $\overrightarrow{A}=-\lambda \cdot \overrightarrow{B}$

Any vector multiplied by some positive constant will give parallel vector.
Any vector multiplied by some negative constant will give anti-parallel vector.
Hence,
$-\lambda \cdot \overrightarrow{B}$ will be anti-parallel to $\overrightarrow{A}$as $\overrightarrow{A}$ and$\overrightarrow{B}$ are parallel to each other.