A vector has magnitude same as that of A → = 3 j ^ + 4 j ^ and is parallel to B → = 4 i ^ + 3 j ^ . The x and y components of this vector in first quadrant are x and 3 respectively where x = ____.

Step-by-step solution

Magnitude of vector A → = 3 2 + 4 2 = 5 Now, unit vector along B → = ( 4 i ^ + 3 j ^ ) 4 2 + 3 2 = 4 5 i ^ + 3 5 j ^ Now, N → = A → B ^ = 5 × 4 5 i ^ + 3 5 j ^ = 4 i ^ + 3 j ^ ∴ x = 4