Let θ be the angle between the vectors a → and b → , where a → = 4 , b → = 3 and θ ∈ π 4 , π 3 . Then a → - b → × a → + b → 2 + 4 a → · b → 2 is equal to ______

Question

Let &#952; be the angle between the vectors a &#8594; and b &#8594; , where a &#8594; = 4 , b &#8594; = 3 and &#952; &#8712; &#960; 4 , &#960; 3 . Then a &#8594; - b &#8594; &#215; a &#8594; + b &#8594; 2 + 4 a &#8594; &#183; b &#8594; 2 is equal to ______

Aicharya · Accepted Answer

a &#8594; - b &#8594; &#215; a &#8594; + b &#8594; 2 + 4 a &#8594; &#183; b &#8594; 2 = a &#8594; &#215; a &#8594; + a &#8594; &#215; b &#8594; &#8722; b &#8594; &#215; a &#8594; &#8722; b &#8594; &#215; b &#8594; 2 + 4 a &#8594; &#8901; b &#8594; 2 = 4 a &#8594; &#215; b &#8594; 2 + a &#8594; &#183; b &#8594; 2 = 4 a &#8594; 2 b &#8594; 2 = 4 &#215; 9 &#215; 16 = 576

Let θ be the angle between the vectors a → and b → , where a → = 4 , b → = 3…

Solution

Let &#952; be the angle between the vectors a &#8594; and b &#8594; , where a &#8594; = 4 , b &#8594; = 3…

Solution

Let θ be the angle between the vectors a → and b → , where a → = 4 , b → = 3…