COMEDK2024PhysicsMathematics in Physics
Which of the following statement(s) is/are correct?
Options
- ADisplacing a vector parallel to itself leaves the vector unchanged.
- BThree equal vectors cannot add upto zero.
- CIf | A + B | | A - B | , they are perpendicular vectors.
- DBoth b . and c .
Correct answer
A. Displacing a vector parallel to itself leaves the vector unchanged.
Step-by-step solution
Three equal vectors can add upto zero when each of them is inclined at 120^ with the other. If | A + B |=| A - B | , they are inclined at 90^ as shown below. In this figure, length of M N is equal to length of M O . So, | A + B |=| A - B | . Thus, the statement given in option (1) is correct, rest are incorrect.