Let A → = i ^ + j ^ a n d B → = ( 2 i ^ - j ^ ) . The magnitude of a coplanar vector C → such that A → . C → = B → . C → = A → . B → is given by:

Question

Let A → = i ^ + j ^ a n d B → = ( 2 i ^ - j ^ ) . The magnitude of a coplanar vector C → such that A → . C → = B → . C → = A → . B → is given by:, 9 12, 20 9, 5 9, 10 9

MARKS App · Accepted Answer

If C → = a i ^ + b j ^ then, A → . C → = A → . B → a + b = 1 . . . . . . . ( i ) B → . C → = A → . B → 2 a - b = 1 . . . . . . ( ii ) solving equations ( i ) and ( ii ) we get, a = 1 3 , b = 2 3 C → = 1 9 + 4 9 = 5 9

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