If $\vec a$ and $\vec b$ are two collinear vectors, then which of the following is incorrect:
• $\vec b = \lambda \vec a$, for some scalar $\lambda$
• $\vec a = \pm \,\,\vec b$
• the respective components of $\vec a$ and $\vec b$ are proportional
• both the vectors $\vec a$ and $\vec b$ have same direction, but different magnitudes.
{Option d is Correct}
(D): Since $\vec a$ and $\vec b$ are collinear vectors, so it is not necessary that they have same direction.
$\therefore$ $\vec a$ and $\vec b$ may have opposite direction, their magnitudes may be different.
Exercise-10.3
NCERT & Exemplar solution for CBSE Class 12 Mathematics, Vector Algebra. Curated by Sachin Sharma. Free for all students.