Concepts Of Physics MCQ Edition [Volume 1]PhysicsPhysics and Mathematics
Suppose two vectors are given by a = 4 i + 3 j and b = 3 i + 4 j . Compute the magnitude of a + b .
Options
- A14
- B7 2
- C10
- D7
Correct answer
B. 7 2
Step-by-step solution
Given vectors are a = 4 i + 3 j and b = 3 i + 4 j . The sum of the vectors is given by: a + b = (4 i + 3 j ) + (3 i + 4 j ) a + b = 7 i + 7 j The magnitude of the resultant vector is: | a + b | = 7^2 + 7^2 | a + b | = 49 + 49 = 98 = 7 2