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 &#8594; = i ^ &#160; + &#160; j ^ &#160; a n d &#160; B &#8594; = ( 2 i ^ - &#160; j ^ ) . The magnitude of a coplanar vector C &#8594; such that A &#8594; &#160; . &#160; C &#8594; = B &#8594; . &#160; C &#8594; = &#160; A &#8594; &#160; . &#160; B &#8594; is given by:

Aicharya · Accepted Answer

If C &#8594; = a i ^ &#160; + &#160; b j ^ then, A &#8594; &#160; . &#160; C &#8594; = A &#8594; &#160; . &#160; B &#8594; &#160; a + b = 1 &#160; &#160; . . . . . . . ( i ) B &#8594; . &#160; C &#8594; = &#160; A &#8594; &#160; . &#160; B &#8594; 2 a - b = 1 &#160; &#160; . . . . . . ( ii ) solving equations ( i ) and ( ii ) we get, a = 1 3 , &#160; b = 2 3 C &#8594; = &#160; 1 9 + 4 9 = &#160; 5 9

Let A → = i ^   +   j ^   a n d   B → = ( 2 i ^ -   j ^ ) . The…

Solution

Let A &#8594; = i ^ &#160; + &#160; j ^ &#160; a n d &#160; B &#8594; = ( 2 i ^ - &#160; j ^ ) . The…

Solution

Let A → = i ^ + j ^ a n d B → = ( 2 i ^ - j ^ ) . The…