are two collinear vectors, then which of the following are incorrect:
(c) the respective components of are not proportional
(d) both the vectors have same direction, but different magnitudes.
We know that two vectors are collinear if they have the same direction or are parallel or anti-parallel. They can be expressed in the form where a and b are vectors and ' m ' is a scalar quantity.
Therefore, (a) is true.
So, (b) is also true.
The vectors and are proportional,
Therefore, (c) is not true.
The vectors and can have different magnitude as well as different direction.
Therefore, (d) is not true.
We are asked the options which are not true.
∴ The correct answer is (c) and (d).