When vector A → = 2 i ^ + 3 j ^ + 2 k ^ is subtracted from vector B → , it gives a vector equal to 2 j ^ . Then the magnitude of vector B → will be:

Step-by-step solution

It is given that A → = 2 i ^ + 3 j ^ + 2 k ^ . By the given condition, B → - ( 2 i ^ + 3 j ^ + 2 k ^ ) = 2 j ^ ⇒ B → = 2 i ^ + 5 j ^ + 2 k ^ The magnitude is given by the formula, B → = B 2 x + B 2 y + B 2 z ⇒ | B → | = 4 + 25 + 4 = 33