Let a → and b → be two vectors. Let | a → | = 1 , | b → | = 4 and a → · b → = 2 . If c → = ( 2 a → × b → ) - 3 b → , then the value of b → · c → is

Question

Let a &#8594; and b &#8594; be two vectors. Let | a &#8594; | = 1 , | b &#8594; | = 4 and a &#8594; &#183; b &#8594; = 2 . If c &#8594; = ( 2 a &#8594; &#215; b &#8594; ) - 3 b &#8594; , then the value of b &#8594; &#183; c &#8594; is

Aicharya · Accepted Answer

Given, a &#8594; and b &#8594; be two vectors, where | a &#8594; | = 1 , | b &#8594; | = 4 and a &#8594; &#183; b &#8594; = 2 , Now given, c &#8594; = 2 a &#8594; &#215; b &#8594; - 3 b &#8594; So, b &#8594; &#183; c &#8594; = b &#8594; &#183; 2 a &#8594; &#215; b &#8594; - 3 b &#8594; &#183; b &#8594; &#8658; b &#8594; &#183; c &#8594; = - 3 | b | 2 as &#160; b &#8594; 2 a &#8594; b &#8594; = 0 &#160; or &#160; b &#8594; &#183; 2 a &#8594; &#215; b &#8594; = 0 &#8658; b &#8594; &#183; c &#8594; = - 48

Let a → and b → be two vectors. Let | a → | = 1 , | b → | = 4 and a → · b…

Solution

Let a &#8594; and b &#8594; be two vectors. Let | a &#8594; | = 1 , | b &#8594; | = 4 and a &#8594; &#183; b…

Solution

Let a → and b → be two vectors. Let | a → | = 1 , | b → | = 4 and a → · b…