are two collinear vectors, then which of the following are incorrect:
(a) ![]()
(b) ![]()
(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.
In (b), ![]()
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).