Practicing Success
If $\vec{x}$ and $\vec{y}$ are two collinear vectors, then which of the following are incorrect ? |
$\vec{x}=±\vec{y}$ $\vec{y}=\lambda \vec{x}$, for some scalar $\lambda $ Both the vectors $\vec{x}$ and $\vec{y}$ have same direction, but different magnitudes. the respective components of $\vec{x}$ and $\vec{y}$ are not proportional |
Both the vectors $\vec{x}$ and $\vec{y}$ have same direction, but different magnitudes. |
The correct answer is Option (3) → Both the vectors $\vec{x}$ and $\vec{y}$ have same direction, but different magnitudes. for two collinear vectors $\vec x$ and $\vec y$ $\vec x={x_1}\hat i+{x_2}\hat j+{x_3}\hat k$, $\vec y={y_1}\hat i+{y_2}\hat j+{y_3}\hat k$ so $\frac{x_1}{y_1}=\frac{x_2}{y_2}=\frac{x_3}{y_3}$ always |