Test: Vectors- Assertion & Reason Type Questions - Commerce MCQ
6 Questions MCQ Test - Test: Vectors- Assertion & Reason Type Questions
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The position vector of a point say 
and its magnitude is 
Reason (R): If 
then coefficient of 
are called the direction ratios of vector 
and its magnitude is then coefficient of are called the direction ratios of vector Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The area of parallelogram with diagonals 
Reason (R): If 
represent the adjacent sides of a triangle, then the area of triangle can be obtained by evaluating 
represent the adjacent sides of a triangle, then the area of triangle can be obtained by evaluating 
represent the adjacent sides of a triangle, then the area of triangle can be obtained by evaluating 
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Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The direction of cosines of vector
Reason (R): A vector having zero magnitude and arbitrary direction is called ‘zero vector’ or ‘null vector’.
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The position of a particle in a rectangular coordinate system is (3, 2, 5). Then its position vector be 
Reason (R): The displacement vector of the particle that moves from point P(2, 3, 5) to point Q(3, 4, 5) is 
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): The vectors which can undergo parallel displacement without changing its magnitude and direction are called free vectors.
Reason (R): 
Direction: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as
Assertion (A): For any two vectors 
we always have 
Reason (R): The given inequality holds trivially when either 
in such a case
Then consider
So, let us check it for
For cos θ ≤ 1, we have :
or
or
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