Let a → and b → be two vector such that a → = 14 ,   b → = 6 and a → × b → = 48 . Then a → · b → 2 is equal to _____ .

Question

Let a &#8594; and b &#8594; be two vector such that a &#8594; = 14 , &#160; b &#8594; = 6 and a &#8594; &#215; b &#8594; = 48 . Then a &#8594; &#183; b &#8594; 2 is equal to _____ .

Aicharya · Accepted Answer

Given, a &#8594; = 14 , &#160; b &#8594; = 6 &#160; &#38; &#160; a &#8594; &#215; b &#8594; = 48 Now we know that, a &#8594; &#215; b &#8594; 2 + a &#8594; &#183; b &#8594; 2 = a &#8594; 2 b &#8594; 2 sin 2 &#952; + a &#8594; 2 b &#8594; 2 cos 2 &#952; &#8658; a &#8594; &#215; b &#8594; 2 + a &#8594; &#183; b &#8594; 2 = a &#8594; 2 b &#8594; 2 as &#160; cos 2 &#952; + sin 2 &#952; = 1 &#8658; 48 + a &#8594; &#183; b &#8594; 2 = 14 &#215; 6 &#8658; a &#8594; &#183; b &#8594; 2 = 84 - 48 = 36 .

Let a → and b → be two vector such that a → = 14 ,   b → = 6 and a →…

Solution

Let a &#8594; and b &#8594; be two vector such that a &#8594; = 14 , &#160; b &#8594; = 6 and a &#8594;…

Solution

Let a → and b → be two vector such that a → = 14 , b → = 6 and a →…